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57526540 = 22513920693
BaseRepresentation
bin1101101101110…
…0100100001100
311000020122120121
43123130210030
5104211322130
65412554324
71265652601
oct333344414
9130218517
1057526540
112a5215a5
12173229a4
13bbc2196
1478d66a8
1550b4d7a
hex36dc90c

57526540 has 24 divisors (see below), whose sum is σ = 121680720. Its totient is φ = 22843968.

The previous prime is 57526531. The next prime is 57526541. The reversal of 57526540 is 4562575.

57526540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57526496 and 57526505.

It is not an unprimeable number, because it can be changed into a prime (57526541) 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 7 ways as a sum of consecutive naturals, for example, 7567 + ... + 13126.

It is an arithmetic number, because the mean of its divisors is an integer number (5070030).

Almost surely, 257526540 is an apocalyptic number.

It is an amenable number.

57526540 is an abundant number, since it is smaller than the sum of its proper divisors (64154180).

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

57526540 is a wasteful number, since it uses less digits than its factorization.

57526540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20841 (or 20839 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 57526540 is about 7584.6252379402. The cubic root of 57526540 is about 386.0315061042.

The spelling of 57526540 in words is "fifty-seven million, five hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 139 278 556 695 1390 2780 20693 41386 82772 103465 206930 413860 2876327 5752654 11505308 14381635 28763270 57526540