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99910008 = 2332111011249
BaseRepresentation
bin1011111010010…
…00000101111000
320221222221202200
411331020011320
5201034110013
613525230200
72322135552
oct575100570
9227887680
1099910008
115143a960
1229562360
1317911863
14d3aa4d2
158b87e73
hex5f48178

99910008 has 96 divisors (see below), whose sum is σ = 298350000. Its totient is φ = 29952000.

The previous prime is 99910007. The next prime is 99910039. The reversal of 99910008 is 80001999.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99910001) 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 23 ways as a sum of consecutive naturals, for example, 79368 + ... + 80616.

Almost surely, 299910008 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 99910008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149175000).

99910008 is an abundant number, since it is smaller than the sum of its proper divisors (198439992).

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

99910008 is a wasteful number, since it uses less digits than its factorization.

99910008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 99910008 is about 9995.4993872242. The cubic root of 99910008 is about 464.0196062861.

The spelling of 99910008 in words is "ninety-nine million, nine hundred ten thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 101 132 198 202 264 303 396 404 606 792 808 909 1111 1212 1249 1818 2222 2424 2498 3333 3636 3747 4444 4996 6666 7272 7494 8888 9992 9999 11241 13332 13739 14988 19998 22482 26664 27478 29976 39996 41217 44964 54956 79992 82434 89928 109912 123651 126149 164868 247302 252298 329736 378447 494604 504596 756894 989208 1009192 1135341 1387639 1513788 2270682 2775278 3027576 4162917 4541364 5550556 8325834 9082728 11101112 12488751 16651668 24977502 33303336 49955004 99910008