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99336864 = 25311194951
BaseRepresentation
bin1011110101111…
…00001010100000
320220220211120010
411322330022200
5200412234424
613505044520
72314230564
oct572741240
9226824503
1099336864
1151089290
1229326740
1317770a13
14d29b6a4
158ac3229
hex5ebc2a0

99336864 has 96 divisors (see below), whose sum is σ = 299496960. Its totient is φ = 28512000.

The previous prime is 99336863. The next prime is 99336869. The reversal of 99336864 is 46863399.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99336863) by changing a digit.

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, 17589 + ... + 22539.

It is an arithmetic number, because the mean of its divisors is an integer number (3119760).

Almost surely, 299336864 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 99336864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149748480).

99336864 is an abundant number, since it is smaller than the sum of its proper divisors (200160096).

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

99336864 is a wasteful number, since it uses less digits than its factorization.

99336864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4986 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 99336864 is about 9966.7880483133. The cubic root of 99336864 is about 463.1306054894.

The spelling of 99336864 in words is "ninety-nine million, three hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 4951 5016 6688 9902 10032 14853 19804 20064 29706 39608 54461 59412 79216 94069 108922 118824 158432 163383 188138 217844 237648 282207 326766 376276 435688 475296 564414 653532 752552 871376 1034759 1128828 1307064 1505104 1742752 2069518 2257656 2614128 3010208 3104277 4139036 4515312 5228256 6208554 8278072 9030624 12417108 16556144 24834216 33112288 49668432 99336864