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99375264 = 2532893877
BaseRepresentation
bin1011110110001…
…01100010100000
320220222210020100
411323011202200
5200420002024
613505542400
72314450542
oct573054240
9226883210
1099375264
115110511a
1229344a00
1317785341
14d2ab692
158ace7c9
hex5ec58a0

99375264 has 72 divisors (see below), whose sum is σ = 285847380. Its totient is φ = 32744448.

The previous prime is 99375259. The next prime is 99375323. The reversal of 99375264 is 46257399.

It is a happy number.

99375264 is a `hidden beast` number, since 99 + 37 + 526 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91011600 + 8363664 = 9540^2 + 2892^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23694 + ... + 27570.

Almost surely, 299375264 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 99375264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142923690).

99375264 is an abundant number, since it is smaller than the sum of its proper divisors (186472116).

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

99375264 is a wasteful number, since it uses less digits than its factorization.

99375264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3971 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 99375264 is about 9968.7142601240. The cubic root of 99375264 is about 463.1902742551.

The spelling of 99375264 in words is "ninety-nine million, three hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 3877 4272 6408 7754 8544 11631 12816 15508 23262 25632 31016 34893 46524 62032 69786 93048 124064 139572 186096 279144 345053 372192 558288 690106 1035159 1116576 1380212 2070318 2760424 3105477 4140636 5520848 6210954 8281272 11041696 12421908 16562544 24843816 33125088 49687632 99375264