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96913024 = 2713139419
BaseRepresentation
bin1011100011011…
…00011010000000
320202100200200021
411301230122000
5144302204044
613341103224
72254514155
oct561543200
9222320607
1096913024
114a78320a
1228557b14
13171026b0
14cc2a22c
158794e84
hex5c6c680

96913024 has 64 divisors (see below), whose sum is σ = 209916000. Its totient is φ = 44301312.

The previous prime is 96913001. The next prime is 96913057. The reversal of 96913024 is 42031969.

It is a tau number, because it is divible by the number of its divisors (64).

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, 231087 + ... + 231505.

Almost surely, 296913024 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 96913024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104958000).

96913024 is an abundant number, since it is smaller than the sum of its proper divisors (113002976).

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

96913024 is a wasteful number, since it uses less digits than its factorization.

96913024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 96913024 is about 9844.4412741404. The cubic root of 96913024 is about 459.3327187025.

The spelling of 96913024 in words is "ninety-six million, nine hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 278 416 419 556 832 838 1112 1664 1676 1807 2224 3352 3614 4448 5447 6704 7228 8896 10894 13408 14456 17792 21788 26816 28912 43576 53632 57824 58241 87152 115648 116482 174304 231296 232964 348608 465928 697216 757133 931856 1514266 1863712 3028532 3727424 6057064 7454848 12114128 24228256 48456512 96913024