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252752331 = 31331415099
BaseRepresentation
bin11110001000010…
…11000111001011
3122121121011000110
433010023013023
51004201033311
641025205403
76156234156
oct1704130713
9577534013
10252752331
1111a743627
1270790863
13404973c0
14257d4c9d
15172c98a6
hexf10b1cb

252752331 has 32 divisors (see below), whose sum is σ = 383846400. Its totient is φ = 146822400.

The previous prime is 252752293. The next prime is 252752351. The reversal of 252752331 is 133257252.

It is a happy number.

252752331 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 252752331 - 29 = 252751819 is a prime.

It is a super-2 number, since 2×2527523312 = 127767481651867122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252752351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47020 + ... + 52118.

It is an arithmetic number, because the mean of its divisors is an integer number (11995200).

Almost surely, 2252752331 is an apocalyptic number.

252752331 is a deficient number, since it is larger than the sum of its proper divisors (131094069).

252752331 is a wasteful number, since it uses less digits than its factorization.

252752331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187.

The product of its digits is 12600, while the sum is 30.

The square root of 252752331 is about 15898.1864060024. The cubic root of 252752331 is about 632.2639058013.

The spelling of 252752331 in words is "two hundred fifty-two million, seven hundred fifty-two thousand, three hundred thirty-one".

Divisors: 1 3 13 31 39 41 93 123 403 533 1209 1271 1599 3813 5099 15297 16523 49569 66287 158069 198861 209059 474207 627177 2054897 2717767 6164691 6480829 8153301 19442487 84250777 252752331