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4491479268 = 2233316720023
BaseRepresentation
bin1000010111011011…
…01000100011100100
3102121000111210021000
410023231220203210
533144304314033
62021403553300
7216205641513
oct41355504344
912530453230
104491479268
1119a5360941
12a5422b830
135676b2353
1430872c67a
151b44a8a13
hex10bb688e4

4491479268 has 96 divisors (see below), whose sum is σ = 12200222720. Its totient is φ = 1427168160.

The previous prime is 4491479263. The next prime is 4491479269. The reversal of 4491479268 is 8629741944.

4491479268 is a `hidden beast` number, since 4 + 491 + 4 + 7 + 92 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4491479263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214305 + ... + 234327.

Almost surely, 24491479268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4491479268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100111360).

4491479268 is an abundant number, since it is smaller than the sum of its proper divisors (7708743452).

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

4491479268 is a wasteful number, since it uses less digits than its factorization.

4491479268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20134 (or 20126 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4491479268 is about 67018.4994460485. The cubic root of 4491479268 is about 1649.9209350544.

The spelling of 4491479268 in words is "four billion, four hundred ninety-one million, four hundred seventy-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 67 93 108 124 134 186 201 268 279 372 402 558 603 804 837 1116 1206 1674 1809 2077 2412 3348 3618 4154 6231 7236 8308 12462 18693 20023 24924 37386 40046 56079 60069 74772 80092 112158 120138 180207 224316 240276 360414 540621 620713 720828 1081242 1241426 1341541 1862139 2162484 2482852 2683082 3724278 4024623 5366164 5586417 7448556 8049246 11172834 12073869 16098492 16759251 22345668 24147738 33518502 36221607 41587771 48295476 67037004 72443214 83175542 124763313 144886428 166351084 249526626 374289939 499053252 748579878 1122869817 1497159756 2245739634 4491479268