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51293957 = 1121332609
BaseRepresentation
bin1100001110101…
…0111100000101
310120112000002012
43003222330011
5101112401312
65031224005
71161664031
oct303527405
9116460065
1051293957
1126a54a00
1215218005
13a81c370
146b531c1
154783322
hex30eaf05

51293957 has 12 divisors (see below), whose sum is σ = 60719820. Its totient is φ = 43042560.

The previous prime is 51293909. The next prime is 51293959. The reversal of 51293957 is 75939215.

51293957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 19945156 + 31348801 = 4466^2 + 5599^2 .

It is not a de Polignac number, because 51293957 - 214 = 51277573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51293959) 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, 14732 + ... + 17877.

It is an arithmetic number, because the mean of its divisors is an integer number (5059985).

Almost surely, 251293957 is an apocalyptic number.

It is an amenable number.

51293957 is a deficient number, since it is larger than the sum of its proper divisors (9425863).

51293957 is a wasteful number, since it uses less digits than its factorization.

51293957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32644 (or 32633 counting only the distinct ones).

The product of its digits is 85050, while the sum is 41.

The square root of 51293957 is about 7161.9799636693. The cubic root of 51293957 is about 371.5541083899.

The spelling of 51293957 in words is "fifty-one million, two hundred ninety-three thousand, nine hundred fifty-seven".

Divisors: 1 11 13 121 143 1573 32609 358699 423917 3945689 4663087 51293957