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96731008 = 27112329103
BaseRepresentation
bin1011100001111…
…11111110000000
320202000102222221
411300333332000
5144230343013
613333140424
72253125413
oct560777600
9222012887
1096731008
114a669490
122848a714
131706a8aa
14cbbdb7a
15875b08d
hex5c3ff80

96731008 has 128 divisors (see below), whose sum is σ = 229132800. Its totient is φ = 40212480.

The previous prime is 96730981. The next prime is 96731023. The reversal of 96731008 is 80013769.

It is a tau number, because it is divible by the number of its divisors (128).

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, 939085 + ... + 939187.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 296731008 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 96731008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

96731008 is an abundant number, since it is smaller than the sum of its proper divisors (132401792).

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

96731008 is a wasteful number, since it uses less digits than its factorization.

96731008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 96731008 is about 9835.1923214546. The cubic root of 96731008 is about 459.0449751276.

The spelling of 96731008 in words is "ninety-six million, seven hundred thirty-one thousand, eight".

Divisors: 1 2 4 8 11 16 22 23 29 32 44 46 58 64 88 92 103 116 128 176 184 206 232 253 319 352 368 412 464 506 638 667 704 736 824 928 1012 1133 1276 1334 1408 1472 1648 1856 2024 2266 2369 2552 2668 2944 2987 3296 3712 4048 4532 4738 5104 5336 5974 6592 7337 8096 9064 9476 10208 10672 11948 13184 14674 16192 18128 18952 20416 21344 23896 26059 29348 32384 32857 36256 37904 40832 42688 47792 52118 58696 65714 68701 72512 75808 85376 95584 104236 117392 131428 137402 145024 151616 191168 208472 234784 262856 274804 303232 382336 416944 469568 525712 549608 755711 833888 939136 1051424 1099216 1511422 1667776 2102848 2198432 3022844 3335552 4205696 4396864 6045688 8793728 12091376 24182752 48365504 96731008