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57005934 = 2327135059
BaseRepresentation
bin1101100101110…
…1011101101110
310222021012102220
43121131131232
5104043142214
65353500210
71261354026
oct331353556
9128235386
1057005934
112a1a6447
1217111666
13ba6c22b
1477dca86
1550109a9
hex365d76e

57005934 has 16 divisors (see below), whose sum is σ = 114435840. Its totient is φ = 18931320.

The previous prime is 57005933. The next prime is 57005957. The reversal of 57005934 is 43950075.

It is a super-2 number, since 2×570059342 = 6499353022424712, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57005895 and 57005904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57005933) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15904 + ... + 19155.

It is an arithmetic number, because the mean of its divisors is an integer number (7152240).

Almost surely, 257005934 is an apocalyptic number.

57005934 is an abundant number, since it is smaller than the sum of its proper divisors (57429906).

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

57005934 is a wasteful number, since it uses less digits than its factorization.

57005934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35335.

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 57005934 is about 7550.2274137936. The cubic root of 57005934 is about 384.8634676384.

The spelling of 57005934 in words is "fifty-seven million, five thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 271 542 813 1626 35059 70118 105177 210354 9500989 19001978 28502967 57005934