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57541825 = 5211832521
BaseRepresentation
bin1101101110000…
…0010011000001
311000021102112201
43123200103001
5104212314300
65413153201
71266045265
oct333402301
9130242481
1057541825
112a532030
121732b801
13bbc9123
1478dc0a5
1550b966a
hex36e04c1

57541825 has 24 divisors (see below), whose sum is σ = 78807456. Its totient is φ = 41328000.

The previous prime is 57541789. The next prime is 57541843. The reversal of 57541825 is 52814575.

It is not a de Polignac number, because 57541825 - 223 = 49153217 is a prime.

It is a super-2 number, since 2×575418252 = 6622123248661250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21565 + ... + 24085.

It is an arithmetic number, because the mean of its divisors is an integer number (3283644).

Almost surely, 257541825 is an apocalyptic number.

57541825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57541825 is a deficient number, since it is larger than the sum of its proper divisors (21265631).

57541825 is a wasteful number, since it uses less digits than its factorization.

57541825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2620 counting only the distinct ones).

The product of its digits is 56000, while the sum is 37.

The square root of 57541825 is about 7585.6328015532. The cubic root of 57541825 is about 386.0656930438.

The spelling of 57541825 in words is "fifty-seven million, five hundred forty-one thousand, eight hundred twenty-five".

Divisors: 1 5 11 25 55 83 275 415 913 2075 2521 4565 12605 22825 27731 63025 138655 209243 693275 1046215 2301673 5231075 11508365 57541825