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57506306 = 21113215467
BaseRepresentation
bin1101101101011…
…1101000000010
311000012121211012
43123113220002
5104210200211
65412320522
71265536604
oct333275002
9130177735
1057506306
112a508380
1217313142
13bbb5c00
1478cd174
1550add8b
hex36d7a02

57506306 has 24 divisors (see below), whose sum is σ = 101903184. Its totient is φ = 24126960.

The previous prime is 57506299. The next prime is 57506321. The reversal of 57506306 is 60360575.

57506306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 4016 + ... + 11451.

It is an arithmetic number, because the mean of its divisors is an integer number (4245966).

Almost surely, 257506306 is an apocalyptic number.

57506306 is a deficient number, since it is larger than the sum of its proper divisors (44396878).

57506306 is a wasteful number, since it uses less digits than its factorization.

57506306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15506 (or 15493 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 57506306 is about 7583.2912379784. The cubic root of 57506306 is about 385.9862407509.

The spelling of 57506306 in words is "fifty-seven million, five hundred six thousand, three hundred six".

Divisors: 1 2 11 13 22 26 143 169 286 338 1859 3718 15467 30934 170137 201071 340274 402142 2211781 2613923 4423562 5227846 28753153 57506306