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99423936 = 26362131
BaseRepresentation
bin1011110110100…
…01011011000000
320221002021000000
411323101123000
5200423031221
613511000000
72315042463
oct573213300
9227067000
1099423936
1151138747
1229369000
13177a1541
14d2c12da
158adde26
hex5ed16c0

99423936 has 98 divisors (see below), whose sum is σ = 295945052. Its totient is φ = 33125760.

The previous prime is 99423923. The next prime is 99423953. The reversal of 99423936 is 63932499.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 99423891 and 99423900.

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 13 ways as a sum of consecutive naturals, for example, 45591 + ... + 47721.

Almost surely, 299423936 is an apocalyptic number.

99423936 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 99423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147972526).

99423936 is an abundant number, since it is smaller than the sum of its proper divisors (196521116).

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

99423936 is an equidigital number, since it uses as much as digits as its factorization.

99423936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2136 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 99423936 is about 9971.1551988724. The cubic root of 99423936 is about 463.2658823307.

The spelling of 99423936 in words is "ninety-nine million, four hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2131 2592 2916 3888 4262 5184 5832 6393 7776 8524 11664 12786 15552 17048 19179 23328 25572 34096 38358 46656 51144 57537 68192 76716 102288 115074 136384 153432 172611 204576 230148 306864 345222 409152 460296 517833 613728 690444 920592 1035666 1227456 1380888 1553499 1841184 2071332 2761776 3106998 3682368 4142664 5523552 6213996 8285328 11047104 12427992 16570656 24855984 33141312 49711968 99423936