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252631830 = 235117310487
BaseRepresentation
bin11110000111011…
…01101100010110
3122121101000201110
433003231230112
51004133204310
641022435450
76155222643
oct1703555426
9577330643
10252631830
1111a671040
1270732b86
13404545b9
14257a2dca
15172a3d20
hexf0edb16

252631830 has 64 divisors (see below), whose sum is σ = 670560768. Its totient is φ = 60399360.

The previous prime is 252631801. The next prime is 252631861. The reversal of 252631830 is 38136252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18847 + ... + 29333.

It is an arithmetic number, because the mean of its divisors is an integer number (10477512).

Almost surely, 2252631830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252631830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335280384).

252631830 is an abundant number, since it is smaller than the sum of its proper divisors (417928938).

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

252631830 is a wasteful number, since it uses less digits than its factorization.

252631830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10581.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 252631830 is about 15894.3961823027. The cubic root of 252631830 is about 632.1634114510.

The spelling of 252631830 in words is "two hundred fifty-two million, six hundred thirty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 730 803 1095 1606 2190 2409 4015 4818 8030 10487 12045 20974 24090 31461 52435 62922 104870 115357 157305 230714 314610 346071 576785 692142 765551 1153570 1531102 1730355 2296653 3460710 3827755 4593306 7655510 8421061 11483265 16842122 22966530 25263183 42105305 50526366 84210610 126315915 252631830