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96745792 = 2611213312
BaseRepresentation
bin1011100010000…
…11100101000000
320202001012021111
411301003211000
5144231331132
613333333104
72253216463
oct561034500
9222035244
1096745792
114a679600
1228497194
1317074540
14cbc52da
158760647
hex5c43940

96745792 has 126 divisors (see below), whose sum is σ = 234818682. Its totient is φ = 39283200.

The previous prime is 96745757. The next prime is 96745799. The reversal of 96745792 is 29754769.

It can be written as a sum of positive squares in only one way, i.e., 66977856 + 29767936 = 8184^2 + 5456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96745799) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3120817 + ... + 3120847.

Almost surely, 296745792 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 96745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117409341).

96745792 is an abundant number, since it is smaller than the sum of its proper divisors (138072890).

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

96745792 is a wasteful number, since it uses less digits than its factorization.

96745792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 57 counting only the distinct ones).

The product of its digits is 952560, while the sum is 49.

The square root of 96745792 is about 9835.9438794658. The cubic root of 96745792 is about 459.0683601666.

The spelling of 96745792 in words is "ninety-six million, seven hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 121 124 143 176 208 242 248 286 341 352 403 416 484 496 572 682 704 806 832 961 968 992 1144 1364 1573 1612 1922 1936 1984 2288 2728 3146 3224 3751 3844 3872 4433 4576 5456 6292 6448 7502 7688 7744 8866 9152 10571 10912 12493 12584 12896 15004 15376 17732 21142 21824 24986 25168 25792 30008 30752 35464 42284 48763 49972 50336 60016 61504 70928 84568 97526 99944 100672 116281 120032 137423 141856 169136 195052 199888 232562 240064 274846 283712 338272 390104 399776 465124 549692 676544 780208 799552 930248 1099384 1511653 1560416 1860496 2198768 3023306 3120832 3720992 4397536 6046612 7441984 8795072 12093224 24186448 48372896 96745792