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99825712 = 2475367251
BaseRepresentation
bin1011111001100…
…11100000110000
320221211200010121
411330303200300
5201023410322
613523340024
72321335030
oct574634060
9227750117
1099825712
1151392598
1229521614
13178b238c
14d3878c0
158b6cec7
hex5f33830

99825712 has 80 divisors (see below), whose sum is σ = 229485312. Its totient is φ = 41184000.

The previous prime is 99825689. The next prime is 99825731. The reversal of 99825712 is 21752899.

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 15 ways as a sum of consecutive naturals, for example, 397587 + ... + 397837.

Almost surely, 299825712 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 99825712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114742656).

99825712 is an abundant number, since it is smaller than the sum of its proper divisors (129659600).

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

99825712 is a wasteful number, since it uses less digits than its factorization.

99825712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its digits is 90720, while the sum is 43.

The square root of 99825712 is about 9991.2817996491. The cubic root of 99825712 is about 463.8890688042.

The spelling of 99825712 in words is "ninety-nine million, eight hundred twenty-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 53 56 67 106 112 134 212 251 268 371 424 469 502 536 742 848 938 1004 1072 1484 1757 1876 2008 2968 3514 3551 3752 4016 5936 7028 7102 7504 13303 14056 14204 16817 24857 26606 28112 28408 33634 49714 53212 56816 67268 93121 99428 106424 117719 134536 186242 198856 212848 235438 269072 372484 397712 470876 744968 891301 941752 1489936 1782602 1883504 3565204 6239107 7130408 12478214 14260816 24956428 49912856 99825712