Search a number
-
+
53461317 = 37131131733
BaseRepresentation
bin1100101111110…
…0000101000101
310201121010010210
43023330011011
5102141230232
65145510033
71216261620
oct313740505
9121533123
1053461317
11281a5308
1215aa2319
13b0caa20
147158db7
154a605cc
hex32fc145

53461317 has 32 divisors (see below), whose sum is σ = 88558848. Its totient is φ = 27933696.

The previous prime is 53461313. The next prime is 53461333. The reversal of 53461317 is 71316435.

53461317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53461317 - 22 = 53461313 is a prime.

It is a super-2 number, since 2×534613172 = 5716224830748978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53461313) 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 31 ways as a sum of consecutive naturals, for example, 29983 + ... + 31715.

It is an arithmetic number, because the mean of its divisors is an integer number (2767464).

Almost surely, 253461317 is an apocalyptic number.

It is an amenable number.

53461317 is a deficient number, since it is larger than the sum of its proper divisors (35097531).

53461317 is a wasteful number, since it uses less digits than its factorization.

53461317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869.

The product of its digits is 7560, while the sum is 30.

The square root of 53461317 is about 7311.7246255586. The cubic root of 53461317 is about 376.7152641328.

The spelling of 53461317 in words is "fifty-three million, four hundred sixty-one thousand, three hundred seventeen".

Divisors: 1 3 7 13 21 39 91 113 273 339 791 1469 1733 2373 4407 5199 10283 12131 22529 30849 36393 67587 157703 195829 473109 587487 1370803 2545777 4112409 7637331 17820439 53461317