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57152095 = 57111319601
BaseRepresentation
bin1101101000000…
…1001001011111
310222112121221021
43122001021133
5104112331340
65400545011
71262533120
oct332011137
9128477837
1057152095
112a296240
1217182167
13bac0910
14783a047
15503de4a
hex368125f

57152095 has 64 divisors (see below), whose sum is σ = 97090560. Its totient is φ = 31104000.

The previous prime is 57152083. The next prime is 57152101. The reversal of 57152095 is 59025175.

57152095 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57152095 - 29 = 57151583 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57152095.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 94795 + ... + 95395.

It is an arithmetic number, because the mean of its divisors is an integer number (1517040).

Almost surely, 257152095 is an apocalyptic number.

57152095 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57152095 is a deficient number, since it is larger than the sum of its proper divisors (39938465).

57152095 is a wasteful number, since it uses less digits than its factorization.

57152095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 15750, while the sum is 34.

The square root of 57152095 is about 7559.9004623077. The cubic root of 57152095 is about 385.1921119140.

Subtracting 57152095 from its reverse (59025175), we obtain a triangular number (1873080 = T1935).

The spelling of 57152095 in words is "fifty-seven million, one hundred fifty-two thousand, ninety-five".

Divisors: 1 5 7 11 13 19 35 55 65 77 91 95 133 143 209 247 385 455 601 665 715 1001 1045 1235 1463 1729 2717 3005 4207 5005 6611 7315 7813 8645 11419 13585 19019 21035 33055 39065 46277 54691 57095 79933 85943 95095 125609 148447 231385 273455 399665 429715 601601 628045 742235 879263 1039129 1632917 3008005 4396315 5195645 8164585 11430419 57152095