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52598313 = 3253110269
BaseRepresentation
bin1100100010100…
…1011000101001
310122222021022200
43020221120221
5101431121223
65115210413
71206035565
oct310513051
9118867280
1052598313
1127765989
1215746a09
13ab87c81
146db26a5
15493ea43
hex3229629

52598313 has 12 divisors (see below), whose sum is σ = 77409540. Its totient is φ = 34403616.

The previous prime is 52598281. The next prime is 52598333. The reversal of 52598313 is 31389525.

52598313 is a `hidden beast` number, since 52 + 598 + 3 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44997264 + 7601049 = 6708^2 + 2757^2 .

It is not a de Polignac number, because 52598313 - 25 = 52598281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52598333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54658 + ... + 55611.

It is an arithmetic number, because the mean of its divisors is an integer number (6450795).

Almost surely, 252598313 is an apocalyptic number.

52598313 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

52598313 is a deficient number, since it is larger than the sum of its proper divisors (24811227).

52598313 is a wasteful number, since it uses less digits than its factorization.

52598313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110328 (or 110325 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 52598313 is about 7252.4694415075. The cubic root of 52598313 is about 374.6772048886.

The spelling of 52598313 in words is "fifty-two million, five hundred ninety-eight thousand, three hundred thirteen".

Divisors: 1 3 9 53 159 477 110269 330807 992421 5844257 17532771 52598313