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99866382 = 23711243457
BaseRepresentation
bin1011111001111…
…01011100001110
320221220201220220
411330331130032
5201031211012
613524252210
72321564430
oct574753416
9227821826
1099866382
1151410100
1229541066
13178c7a45
14d398650
158b7a08c
hex5f3d70e

99866382 has 96 divisors (see below), whose sum is σ = 257300736. Its totient is φ = 25280640.

The previous prime is 99866369. The next prime is 99866383. The reversal of 99866382 is 28366899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99866383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218298 + ... + 218754.

It is an arithmetic number, because the mean of its divisors is an integer number (2680216).

Almost surely, 299866382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99866382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128650368).

99866382 is an abundant number, since it is smaller than the sum of its proper divisors (157434354).

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

99866382 is a wasteful number, since it uses less digits than its factorization.

99866382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 523 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 99866382 is about 9993.3168667865. The cubic root of 99866382 is about 463.9520579430.

The spelling of 99866382 in words is "ninety-nine million, eight hundred sixty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 121 129 154 231 242 258 301 363 457 462 473 602 726 847 903 914 946 1371 1419 1694 1806 2541 2742 2838 3199 3311 5027 5082 5203 6398 6622 9597 9933 10054 10406 15081 15609 19194 19651 19866 30162 31218 35189 36421 39302 55297 58953 70378 72842 105567 109263 110594 117906 137557 165891 211134 216161 218526 275114 331782 387079 412671 432322 648483 774158 825342 1161237 1296966 1513127 2322474 2377771 3026254 4539381 4755542 7133313 9078762 14266626 16644397 33288794 49933191 99866382