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96259072 = 2107131033
BaseRepresentation
bin1011011110011…
…00110000000000
320201010110121211
411233030300000
5144120242242
613315055504
72246121460
oct557146000
9221113554
1096259072
114a376958
12282a1594
1316c33b40
14cad9ba0
1586b6317
hex5bccc00

96259072 has 88 divisors (see below), whose sum is σ = 237058976. Its totient is φ = 38043648.

The previous prime is 96259067. The next prime is 96259129. The reversal of 96259072 is 27095269.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92668 + ... + 93700.

It is an arithmetic number, because the mean of its divisors is an integer number (2693852).

Almost surely, 296259072 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 96259072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118529488).

96259072 is an abundant number, since it is smaller than the sum of its proper divisors (140799904).

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

96259072 is a wasteful number, since it uses less digits than its factorization.

96259072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 96259072 is about 9811.1707762122. The cubic root of 96259072 is about 458.2972206772.

The spelling of 96259072 in words is "ninety-six million, two hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1033 1456 1664 1792 2066 2912 3328 3584 4132 5824 6656 7168 7231 8264 11648 13312 13429 14462 16528 23296 26858 28924 33056 46592 53716 57848 66112 93184 94003 107432 115696 132224 188006 214864 231392 264448 376012 429728 462784 528896 752024 859456 925568 1057792 1504048 1718912 1851136 3008096 3437824 3702272 6016192 6875648 7404544 12032384 13751296 24064768 48129536 96259072