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99757125 = 32531319359
BaseRepresentation
bin1011111001000…
…10110001000101
320221201012001100
411330202301011
5201014212000
613522050313
72320631046
oct574426105
9227635040
1099757125
1151346006
12294a9999
131788a0b0
14d36a8cd
158b57a00
hex5f22c45

99757125 has 96 divisors (see below), whose sum is σ = 204422400. Its totient is φ = 46396800.

The previous prime is 99757123. The next prime is 99757153. The reversal of 99757125 is 52175799.

It is not a de Polignac number, because 99757125 - 21 = 99757123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99757121) 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 95 ways as a sum of consecutive naturals, for example, 277696 + ... + 278054.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 299757125 is an apocalyptic number.

99757125 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

99757125 is an abundant number, since it is smaller than the sum of its proper divisors (104665275).

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

99757125 is a wasteful number, since it uses less digits than its factorization.

99757125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its digits is 198450, while the sum is 45.

The square root of 99757125 is about 9987.8488674989. The cubic root of 99757125 is about 463.7828034327.

The spelling of 99757125 in words is "ninety-nine million, seven hundred fifty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 19 25 39 45 57 65 75 95 117 125 171 195 225 247 285 325 359 375 475 585 741 855 975 1077 1125 1235 1425 1625 1795 2223 2375 2925 3231 3705 4275 4667 4875 5385 6175 6821 7125 8975 11115 14001 14625 16155 18525 20463 21375 23335 26925 30875 34105 42003 44875 55575 61389 70005 80775 88673 92625 102315 116675 134625 170525 210015 266019 277875 306945 350025 403875 443365 511575 583375 798057 852625 1050075 1330095 1534725 1750125 2216825 2557875 3990285 5250375 6650475 7673625 11084125 19951425 33252375 99757125