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99754864 = 241119231297
BaseRepresentation
bin1011111001000…
…10001101110000
320221201001221121
411330202031300
5201014123424
613522032024
72320621336
oct574421560
9227631847
1099754864
1151344340
12294a8614
1317889061
14d369b56
158b56ee4
hex5f22370

99754864 has 80 divisors (see below), whose sum is σ = 231770880. Its totient is φ = 41057280.

The previous prime is 99754819. The next prime is 99754873. The reversal of 99754864 is 46845799.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76264 + ... + 77560.

It is an arithmetic number, because the mean of its divisors is an integer number (2897136).

Almost surely, 299754864 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 99754864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115885440).

99754864 is an abundant number, since it is smaller than the sum of its proper divisors (132016016).

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

99754864 is a wasteful number, since it uses less digits than its factorization.

99754864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1352 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 99754864 is about 9987.7356793219. The cubic root of 99754864 is about 463.7792995198.

The spelling of 99754864 in words is "ninety-nine million, seven hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 23 38 44 46 76 88 92 152 176 184 209 253 304 368 418 437 506 836 874 1012 1297 1672 1748 2024 2594 3344 3496 4048 4807 5188 6992 9614 10376 14267 19228 20752 24643 28534 29831 38456 49286 57068 59662 76912 98572 114136 119324 197144 228272 238648 271073 328141 394288 477296 542146 566789 656282 1084292 1133578 1312564 2168584 2267156 2625128 4337168 4534312 5250256 6234679 9068624 12469358 24938716 49877432 99754864