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96796896 = 2537294967
BaseRepresentation
bin1011100010100…
…00000011100000
320202010210101020
411301100003200
5144240000041
613334405440
72253521460
oct561200340
9222123336
1096796896
114a703a39
1228500880
1317091891
14cbd9ba0
158770866
hex5c500e0

96796896 has 96 divisors (see below), whose sum is σ = 300464640. Its totient is φ = 26697216.

The previous prime is 96796879. The next prime is 96796907. The reversal of 96796896 is 69869769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17005 + ... + 21971.

It is an arithmetic number, because the mean of its divisors is an integer number (3129840).

Almost surely, 296796896 is an apocalyptic number.

96796896 is a gapful number since it is divisible by the number (96) 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 96796896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150232320).

96796896 is an abundant number, since it is smaller than the sum of its proper divisors (203667744).

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

96796896 is a wasteful number, since it uses less digits than its factorization.

96796896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5008 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 60.

The square root of 96796896 is about 9838.5413553026. The cubic root of 96796896 is about 459.1491771180.

The spelling of 96796896 in words is "ninety-six million, seven hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 4967 6496 9744 9934 14901 19488 19868 29802 34769 39736 59604 69538 79472 104307 119208 139076 144043 158944 208614 238416 278152 288086 417228 432129 476832 556304 576172 834456 864258 1008301 1112608 1152344 1668912 1728516 2016602 2304688 3024903 3337824 3457032 4033204 4609376 6049806 6914064 8066408 12099612 13828128 16132816 24199224 32265632 48398448 96796896