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42956037 = 325099377
BaseRepresentation
bin1010001111011…
…1010100000101
32222211101121100
42203313110011
541444043122
64132410313
71031056155
oct243672405
988741540
1042956037
112227a563
1212476999
138b90197
1459c2765
153b87aac
hex28f7505

42956037 has 12 divisors (see below), whose sum is σ = 62176140. Its totient is φ = 28578048.

The previous prime is 42956033. The next prime is 42956041. The reversal of 42956037 is 73065924.

42956037 is a `hidden beast` number, since 42 + 9 + 5 + 603 + 7 = 666.

42956037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42956033) and next prime (42956041).

It can be written as a sum of positive squares in 2 ways, for example, as 19131876 + 23824161 = 4374^2 + 4881^2 .

It is not a de Polignac number, because 42956037 - 22 = 42956033 is a prime.

It is a super-2 number, since 2×429560372 = 3690442229490738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42955992 and 42956010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42956033) 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 11 ways as a sum of consecutive naturals, for example, 108 + ... + 9269.

It is an arithmetic number, because the mean of its divisors is an integer number (5181345).

Almost surely, 242956037 is an apocalyptic number.

It is an amenable number.

42956037 is a deficient number, since it is larger than the sum of its proper divisors (19220103).

42956037 is a wasteful number, since it uses less digits than its factorization.

42956037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9892 (or 9889 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42956037 is about 6554.0855197350. The cubic root of 42956037 is about 350.2203700631.

The spelling of 42956037 in words is "forty-two million, nine hundred fifty-six thousand, thirty-seven".

Divisors: 1 3 9 509 1527 4581 9377 28131 84393 4772893 14318679 42956037