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4498228944 = 2433111496353
BaseRepresentation
bin1000011000001110…
…11000011011010000
3102121111012201002000
410030013120123100
533203021311234
62022204354000
7216320213046
oct41407303320
912544181060
104498228944
1119a9150a90
12a56545900
13568c06641
143095a8396
151b4d8d899
hex10c1d86d0

4498228944 has 160 divisors (see below), whose sum is σ = 14182128000. Its totient is φ = 1353738240.

The previous prime is 4498228921. The next prime is 4498228949.

It is a happy number.

4498228944 is a `hidden beast` number, since 449 + 82 + 2 + 89 + 44 = 666.

4498228944 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4498228949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704872 + ... + 711224.

It is an arithmetic number, because the mean of its divisors is an integer number (88638300).

Almost surely, 24498228944 is an apocalyptic number.

4498228944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4498228944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091064000).

4498228944 is an abundant number, since it is smaller than the sum of its proper divisors (9683899056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4498228944 is a wasteful number, since it uses less digits than its factorization.

4498228944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6530 (or 6518 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 4498228944 is about 67068.8373538710. The cubic root of 4498228944 is about 1650.7470072097.

The spelling of 4498228944 in words is "four billion, four hundred ninety-eight million, two hundred twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 149 176 198 216 264 297 298 396 432 447 528 594 596 792 894 1188 1192 1341 1584 1639 1788 2376 2384 2682 3278 3576 4023 4752 4917 5364 6353 6556 7152 8046 9834 10728 12706 13112 14751 16092 19059 19668 21456 25412 26224 29502 32184 38118 39336 44253 50824 57177 59004 64368 69883 76236 78672 88506 101648 114354 118008 139766 152472 171531 177012 209649 228708 236016 279532 304944 343062 354024 419298 457416 559064 628947 686124 708048 838596 914832 946597 1118128 1257894 1372248 1677192 1886841 1893194 2515788 2744496 2839791 3354384 3773682 3786388 5031576 5679582 7547364 7572776 8519373 10063152 10412567 11359164 15094728 15145552 17038746 20825134 22718328 25558119 30189456 31237701 34077492 41650268 45436656 51116238 62475402 68154984 83300536 93713103 102232476 124950804 136309968 166601072 187426206 204464952 249901608 281139309 374852412 408929904 499803216 562278618 749704824 1124557236 1499409648 2249114472 4498228944