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99082944 = 2632312179
BaseRepresentation
bin1011110011111…
…10001011000000
320220102221020200
411321332023000
5200331123234
613455405200
72312122362
oct571761300
9226387220
1099082944
1150a25534
1229223800
13176b227c
14d232d32
158a72d99
hex5e7e2c0

99082944 has 126 divisors (see below), whose sum is σ = 295099740. Its totient is φ = 31783680.

The previous prime is 99082943. The next prime is 99082979. The reversal of 99082944 is 44928099.

It is a self number, because there is not a number n which added to its sum of digits gives 99082944.

It is not an unprimeable number, because it can be changed into a prime (99082943) 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, 553447 + ... + 553625.

Almost surely, 299082944 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 99082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147549870).

99082944 is an abundant number, since it is smaller than the sum of its proper divisors (196016796).

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

99082944 is a wasteful number, since it uses less digits than its factorization.

99082944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 99082944 is about 9954.0415912332. The cubic root of 99082944 is about 462.7356582340.

The spelling of 99082944 in words is "ninety-nine million, eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 179 186 192 248 279 288 358 372 496 537 558 576 716 744 961 992 1074 1116 1432 1488 1611 1922 1984 2148 2232 2864 2883 2976 3222 3844 4296 4464 5549 5728 5766 5952 6444 7688 8592 8649 8928 11098 11456 11532 12888 15376 16647 17184 17298 17856 22196 23064 25776 30752 33294 34368 34596 44392 46128 49941 51552 61504 66588 69192 88784 92256 99882 103104 133176 138384 172019 177568 184512 199764 266352 276768 344038 355136 399528 516057 532704 553536 688076 799056 1032114 1065408 1376152 1548171 1598112 2064228 2752304 3096342 3196224 4128456 5504608 6192684 8256912 11009216 12385368 16513824 24770736 33027648 49541472 99082944