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252856692 = 223211638527
BaseRepresentation
bin11110001001001…
…00100101110100
3122121210110011200
433010210211310
51004212403232
641031332500
76160150344
oct1704444564
9577713150
10252856692
1111a804a80
1270821130
1340502a5a
1425820d24
15172ea77c
hexf124974

252856692 has 36 divisors (see below), whose sum is σ = 697272576. Its totient is φ = 76623120.

The previous prime is 252856673. The next prime is 252856699. The reversal of 252856692 is 296658252.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252856699) 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 11 ways as a sum of consecutive naturals, for example, 318868 + ... + 319659.

Almost surely, 2252856692 is an apocalyptic number.

252856692 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252856692 is an abundant number, since it is smaller than the sum of its proper divisors (444415884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252856692 is a wasteful number, since it uses less digits than its factorization.

252856692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638548 (or 638543 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 252856692 is about 15901.4682340971. The cubic root of 252856692 is about 632.3509140513.

The spelling of 252856692 in words is "two hundred fifty-two million, eight hundred fifty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 638527 1277054 1915581 2554108 3831162 5746743 7023797 7662324 11493486 14047594 21071391 22986972 28095188 42142782 63214173 84285564 126428346 252856692