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57500575 = 5211239091
BaseRepresentation
bin1101101101011…
…0001110011111
311000012022221221
43123112032133
5104210004300
65412234211
71265514106
oct333261637
9130168857
1057500575
112a504040
121730b967
13bbb3412
1478cb03d
1550ac31a
hex36d639f

57500575 has 24 divisors (see below), whose sum is σ = 81173376. Its totient is φ = 39996000.

The previous prime is 57500563. The next prime is 57500617.

57500575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57500575 - 25 = 57500543 is a prime.

It is a super-2 number, since 2×575005752 = 6612632250661250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57500575.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1780 + ... + 10870.

It is an arithmetic number, because the mean of its divisors is an integer number (3382224).

Almost surely, 257500575 is an apocalyptic number.

57500575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57500575 is a deficient number, since it is larger than the sum of its proper divisors (23672801).

57500575 is a wasteful number, since it uses less digits than its factorization.

57500575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9135 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 30625, while the sum is 34.

The square root of 57500575 is about 7582.9133583340. The cubic root of 57500575 is about 385.9734180376.

It can be divided in two parts, 57500 and 575, that multiplied together give a square (33062500 = 57502).

The spelling of 57500575 in words is "fifty-seven million, five hundred thousand, five hundred seventy-five".

Divisors: 1 5 11 23 25 55 115 253 275 575 1265 6325 9091 45455 100001 209093 227275 500005 1045465 2300023 2500025 5227325 11500115 57500575