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57946031 = 11132989157
BaseRepresentation
bin1101110100001…
…0111110101111
311001000222000022
43131002332233
5104313233111
65425552355
71302350603
oct335027657
9131028008
1057946031
112a788790
12174a56bb
13c00b0c0
1479a5503
1551492db
hex3742faf

57946031 has 32 divisors (see below), whose sum is σ = 71668800. Its totient is φ = 46126080.

The previous prime is 57946027. The next prime is 57946051. The reversal of 57946031 is 13064975.

It is not a de Polignac number, because 57946031 - 22 = 57946027 is a prime.

It is a super-2 number, since 2×579460312 = 6715485017305922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57945982 and 57946000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57946051) 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 31 ways as a sum of consecutive naturals, for example, 369005 + ... + 369161.

It is an arithmetic number, because the mean of its divisors is an integer number (2239650).

Almost surely, 257946031 is an apocalyptic number.

57946031 is a deficient number, since it is larger than the sum of its proper divisors (13722769).

57946031 is a wasteful number, since it uses less digits than its factorization.

57946031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 57946031 is about 7612.2290427969. The cubic root of 57946031 is about 386.9675651139.

The spelling of 57946031 in words is "fifty-seven million, nine hundred forty-six thousand, thirty-one".

Divisors: 1 11 13 29 89 143 157 319 377 979 1157 1727 2041 2581 4147 4553 12727 13973 22451 28391 33553 50083 59189 153703 181649 369083 405217 651079 1998139 4457387 5267821 57946031