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51180264 = 2332710837
BaseRepresentation
bin1100001100111…
…1001011101000
310120022020010100
43003033023220
5101100232024
65024545400
71161011412
oct303171350
9116266110
1051180264
1126987543
1215182260
13a7ac6a5
146b239b2
15475e7c9
hex30cf2e8

51180264 has 24 divisors (see below), whose sum is σ = 138613410. Its totient is φ = 17060064.

The previous prime is 51180263. The next prime is 51180271. The reversal of 51180264 is 46208115.

51180264 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 only one way, i.e., 35640900 + 15539364 = 5970^2 + 3942^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (51180263) 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 5 ways as a sum of consecutive naturals, for example, 355347 + ... + 355490.

Almost surely, 251180264 is an apocalyptic number.

It is an amenable number.

51180264 is an abundant number, since it is smaller than the sum of its proper divisors (87433146).

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

51180264 is a wasteful number, since it uses less digits than its factorization.

51180264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710849 (or 710842 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51180264 is about 7154.0383001491. The cubic root of 51180264 is about 371.2793888920.

Adding to 51180264 its reverse (46208115), we get a palindrome (97388379).

The spelling of 51180264 in words is "fifty-one million, one hundred eighty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 710837 1421674 2132511 2843348 4265022 5686696 6397533 8530044 12795066 17060088 25590132 51180264