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252238008 = 233117113457
BaseRepresentation
bin11110000100011…
…01100010111000
3122120122000111110
433002031202320
51004033104013
641010200320
76151662531
oct1702154270
9576560443
10252238008
1111a422170
12705830a0
1340347279
14256dd688
15172272c3
hexf08d8b8

252238008 has 64 divisors (see below), whose sum is σ = 697662720. Its totient is φ = 75353600.

The previous prime is 252238003. The next prime is 252238037. The reversal of 252238008 is 800832252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252238001) 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 15 ways as a sum of consecutive naturals, for example, 12016 + ... + 25472.

It is an arithmetic number, because the mean of its divisors is an integer number (10900980).

Almost surely, 2252238008 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 252238008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348831360).

252238008 is an abundant number, since it is smaller than the sum of its proper divisors (445424712).

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

252238008 is a wasteful number, since it uses less digits than its factorization.

252238008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13548 (or 13544 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 252238008 is about 15882.0026445030. The cubic root of 252238008 is about 631.8347522355.

The spelling of 252238008 in words is "two hundred fifty-two million, two hundred thirty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3124 4686 6248 9372 13457 18744 26914 40371 53828 80742 107656 148027 161484 296054 322968 444081 592108 888162 955447 1184216 1776324 1910894 2866341 3552648 3821788 5732682 7643576 10509917 11465364 21019834 22930728 31529751 42039668 63059502 84079336 126119004 252238008