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52357131 = 3323591429
BaseRepresentation
bin1100011110111…
…0100000001011
310122112000111000
43013232200023
5101400412011
65110110043
71204012461
oct307564013
9118460430
1052357131
1127610762
121564b323
13ab02268
146d4c831
1548e3356
hex31ee80b

52357131 has 32 divisors (see below), whose sum is σ = 82368000. Its totient is φ = 32798304.

The previous prime is 52357117. The next prime is 52357157. The reversal of 52357131 is 13175325.

52357131 is a `hidden beast` number, since 523 + 5 + 7 + 131 = 666.

52357131 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 52357131 - 27 = 52357003 is a prime.

It is a super-2 number, since 2×523571312 = 5482538333102322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52357095 and 52357104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52357231) 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, 35925 + ... + 37353.

It is an arithmetic number, because the mean of its divisors is an integer number (2574000).

Almost surely, 252357131 is an apocalyptic number.

52357131 is a deficient number, since it is larger than the sum of its proper divisors (30010869).

52357131 is a wasteful number, since it uses less digits than its factorization.

52357131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1514 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 52357131 is about 7235.8227590233. The cubic root of 52357131 is about 374.1036511973.

The spelling of 52357131 in words is "fifty-two million, three hundred fifty-seven thousand, one hundred thirty-one".

Divisors: 1 3 9 23 27 59 69 177 207 531 621 1357 1429 1593 4071 4287 12213 12861 32867 36639 38583 84311 98601 252933 295803 758799 887409 1939153 2276397 5817459 17452377 52357131