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252131136 = 2636532011
BaseRepresentation
bin11110000011100…
…11011101000000
3122120102120220020
433001303131000
51004021144021
641004013440
76151036125
oct1701633500
9576376806
10252131136
1111a359944
1270531280
134030a72a
14256b274c
15172057c6
hexf073740

252131136 has 56 divisors (see below), whose sum is σ = 668450784. Its totient is φ = 83873280.

The previous prime is 252131111. The next prime is 252131141. The reversal of 252131136 is 631131252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 124371 + ... + 126381.

Almost surely, 2252131136 is an apocalyptic number.

It is an amenable number.

252131136 is an abundant number, since it is smaller than the sum of its proper divisors (416319648).

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

252131136 is a wasteful number, since it uses less digits than its factorization.

252131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2669 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 252131136 is about 15878.6377249435. The cubic root of 252131136 is about 631.7455045403.

Adding to 252131136 its reverse (631131252), we get a palindrome (883262388).

The spelling of 252131136 in words is "two hundred fifty-two million, one hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 653 1306 1959 2011 2612 3918 4022 5224 6033 7836 8044 10448 12066 15672 16088 20896 24132 31344 32176 41792 48264 62688 64352 96528 125376 128704 193056 386112 1313183 2626366 3939549 5252732 7879098 10505464 15758196 21010928 31516392 42021856 63032784 84043712 126065568 252131136