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57355074 = 2337151733
BaseRepresentation
bin1101101011001…
…0101101000010
310222220221101000
43122302231002
5104140330244
65405152430
71264336650
oct332625502
9128827330
1057355074
112a414797
121725b716
13bb6211a
14788ddd0
15507e169
hex36b2b42

57355074 has 32 divisors (see below), whose sum is σ = 145664640. Its totient is φ = 16387056.

The previous prime is 57355061. The next prime is 57355097. The reversal of 57355074 is 47055375.

57355074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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 15 ways as a sum of consecutive naturals, for example, 75489 + ... + 76244.

It is an arithmetic number, because the mean of its divisors is an integer number (4552020).

Almost surely, 257355074 is an apocalyptic number.

57355074 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57355074 is an abundant number, since it is smaller than the sum of its proper divisors (88309566).

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

57355074 is a wasteful number, since it uses less digits than its factorization.

57355074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151751 (or 151745 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 57355074 is about 7573.3132775556. The cubic root of 57355074 is about 385.6475838803.

The spelling of 57355074 in words is "fifty-seven million, three hundred fifty-five thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 151733 303466 455199 910398 1062131 1365597 2124262 2731194 3186393 4096791 6372786 8193582 9559179 19118358 28677537 57355074