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99639072 = 2534132957
BaseRepresentation
bin1011111000001…
…01111100100000
320221111012010000
411330011330200
5201001422242
613515340000
72316626631
oct574057440
9227435100
1099639072
1151275345
1229451600
1317848440
14d339888
158b32a4c
hex5f05f20

99639072 has 120 divisors (see below), whose sum is σ = 315683676. Its totient is φ = 30647808.

The previous prime is 99639049. The next prime is 99639073. The reversal of 99639072 is 27093699.

99639072 is a `hidden beast` number, since 9 + 9 + 639 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86936976 + 12702096 = 9324^2 + 3564^2 .

It is not an unprimeable number, because it can be changed into a prime (99639073) 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 19 ways as a sum of consecutive naturals, for example, 32218 + ... + 35174.

Almost surely, 299639072 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 99639072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157841838).

99639072 is an abundant number, since it is smaller than the sum of its proper divisors (216044604).

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

99639072 is a wasteful number, since it uses less digits than its factorization.

99639072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 99639072 is about 9981.9372869198. The cubic root of 99639072 is about 463.5997837136.

The spelling of 99639072 in words is "ninety-nine million, six hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 2957 3744 4212 5616 5914 8424 8871 11232 11828 16848 17742 23656 26613 33696 35484 38441 47312 53226 70968 76882 79839 94624 106452 115323 141936 153764 159678 212904 230646 239517 283872 307528 319356 345969 425808 461292 479034 615056 638712 691938 851616 922584 958068 1037907 1230112 1277424 1383876 1845168 1916136 2075814 2554848 2767752 3113721 3690336 3832272 4151628 5535504 6227442 7664544 8303256 11071008 12454884 16606512 24909768 33213024 49819536 99639072