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4486997088 = 253274494957
BaseRepresentation
bin1000010110111001…
…00010010001100000
3102120201002001212100
410023130202101200
533142132401323
62021123530400
7216122563110
oct41334422140
912521061770
104486997088
1119a287a362
12a52829a00
135667a3182
14307cc3040
151b3dc0943
hex10b722460

4486997088 has 144 divisors (see below), whose sum is σ = 14618167200. Its totient is φ = 1278885888.

The previous prime is 4486997087. The next prime is 4486997093. The reversal of 4486997088 is 8807996844.

4486997088 is a `hidden beast` number, since 4 + 486 + 9 + 9 + 70 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4486997087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902706 + ... + 907662.

It is an arithmetic number, because the mean of its divisors is an integer number (101515050).

Almost surely, 24486997088 is an apocalyptic number.

4486997088 is a gapful number since it is divisible by the number (48) 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 4486997088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309083600).

4486997088 is an abundant number, since it is smaller than the sum of its proper divisors (10131170112).

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

4486997088 is a wasteful number, since it uses less digits than its factorization.

4486997088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The square root of 4486997088 is about 66985.0512278673. The cubic root of 4486997088 is about 1649.3719174207.

The spelling of 4486997088 in words is "four billion, four hundred eighty-six million, nine hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 449 504 672 898 1008 1347 1796 2016 2694 3143 3592 4041 4957 5388 6286 7184 8082 9429 9914 10776 12572 14368 14871 16164 18858 19828 21552 25144 28287 29742 32328 34699 37716 39656 43104 44613 50288 56574 59484 64656 69398 75432 79312 89226 100576 104097 113148 118968 129312 138796 150864 158624 178452 208194 226296 237936 277592 301728 312291 356904 416388 452592 475872 555184 624582 713808 832776 905184 1110368 1249164 1427616 1665552 2225693 2498328 3331104 4451386 4996656 6677079 8902772 9993312 13354158 15579851 17805544 20031237 26708316 31159702 35611088 40062474 46739553 53416632 62319404 71222176 80124948 93479106 106833264 124638808 140218659 160249896 186958212 213666528 249277616 280437318 320499792 373916424 498555232 560874636 640999584 747832848 1121749272 1495665696 2243498544 4486997088