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53113761 = 32291971033
BaseRepresentation
bin1100101010011…
…1001110100001
310200221110101100
43022213032201
5102044120021
65134225013
71213313421
oct312471641
9120843340
1053113761
1127a88178
1215955169
13b00877c
1470a8481
1549e2626
hex32a73a1

53113761 has 24 divisors (see below), whose sum is σ = 79845480. Its totient is φ = 33981696.

The previous prime is 53113733. The next prime is 53113769. The reversal of 53113761 is 16731135.

53113761 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 4 ways, for example, as 38825361 + 14288400 = 6231^2 + 3780^2 .

It is not a de Polignac number, because 53113761 - 210 = 53112737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53113769) 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 23 ways as a sum of consecutive naturals, for example, 50901 + ... + 51933.

It is an arithmetic number, because the mean of its divisors is an integer number (3326895).

Almost surely, 253113761 is an apocalyptic number.

It is an amenable number.

53113761 is a deficient number, since it is larger than the sum of its proper divisors (26731719).

53113761 is a wasteful number, since it uses less digits than its factorization.

53113761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1262 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 53113761 is about 7287.9188387358. The cubic root of 53113761 is about 375.8971373407.

Adding to 53113761 its reverse (16731135), we get a palindrome (69844896).

The spelling of 53113761 in words is "fifty-three million, one hundred thirteen thousand, seven hundred sixty-one".

Divisors: 1 3 9 29 87 197 261 591 1033 1773 3099 5713 9297 17139 29957 51417 89871 203501 269613 610503 1831509 5901529 17704587 53113761