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252545088 = 26312710357
BaseRepresentation
bin11110000110110…
…00100001000000
3122121012121201210
433003120201000
51004122420323
641020530120
76154412025
oct1703304100
9577177653
10252545088
1111a611954
12706b0940
1340423c83
142577d54c
1517288293
hexf0d8840

252545088 has 56 divisors (see below), whose sum is σ = 673518592. Its totient is φ = 83510784.

The previous prime is 252545077. The next prime is 252545089. The reversal of 252545088 is 880545252.

It is not an unprimeable number, because it can be changed into a prime (252545089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19206 + ... + 29562.

Almost surely, 2252545088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252545088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336759296).

252545088 is an abundant number, since it is smaller than the sum of its proper divisors (420973504).

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

252545088 is a wasteful number, since it uses less digits than its factorization.

252545088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10499 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 252545088 is about 15891.6672504807. The cubic root of 252545088 is about 632.0910513479.

The spelling of 252545088 in words is "two hundred fifty-two million, five hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 6096 8128 10357 12192 20714 24384 31071 41428 62142 82856 124284 165712 248568 331424 497136 662848 994272 1315339 1988544 2630678 3946017 5261356 7892034 10522712 15784068 21045424 31568136 42090848 63136272 84181696 126272544 252545088