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99892953 = 3371107487
BaseRepresentation
bin1011111010000…
…11111011011001
320221222002101000
411331003323121
5201033033303
613525015213
72322035046
oct575037331
9227862330
1099892953
1151429066
1229554509
1317906b74
14d3a41cd
158b82da3
hex5f43ed9

99892953 has 32 divisors (see below), whose sum is σ = 151787520. Its totient is φ = 64910160.

The previous prime is 99892927. The next prime is 99892957. The reversal of 99892953 is 35929899.

It is not a de Polignac number, because 99892953 - 25 = 99892921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 99892953.

It is not an unprimeable number, because it can be changed into a prime (99892957) 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 31 ways as a sum of consecutive naturals, for example, 204876 + ... + 205362.

It is an arithmetic number, because the mean of its divisors is an integer number (4743360).

Almost surely, 299892953 is an apocalyptic number.

It is an amenable number.

99892953 is a deficient number, since it is larger than the sum of its proper divisors (51894567).

99892953 is a wasteful number, since it uses less digits than its factorization.

99892953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 54.

The square root of 99892953 is about 9994.6462168503. The cubic root of 99892953 is about 463.9932015081.

The spelling of 99892953 in words is "ninety-nine million, eight hundred ninety-two thousand, nine hundred fifty-three".

Divisors: 1 3 9 27 71 107 213 321 487 639 963 1461 1917 2889 4383 7597 13149 22791 34577 52109 68373 103731 156327 205119 311193 468981 933579 1406943 3699739 11099217 33297651 99892953