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252442520 = 235111733749
BaseRepresentation
bin11110000101111…
…11011110011000
3122121000102000222
433002333132120
51004111130040
641014415212
76153504011
oct1702773630
9577012028
10252442520
1111a551890
1270661508
13403b9395
1425754008
1517267bb5
hexf0bf798

252442520 has 64 divisors (see below), whose sum is σ = 656100000. Its totient is φ = 86394880.

The previous prime is 252442513. The next prime is 252442529. The reversal of 252442520 is 25244252.

It is a self number, because there is not a number n which added to its sum of digits gives 252442520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252442529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9395 + ... + 24354.

Almost surely, 2252442520 is an apocalyptic number.

252442520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252442520 is an abundant number, since it is smaller than the sum of its proper divisors (403657480).

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

252442520 is a wasteful number, since it uses less digits than its factorization.

252442520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33788 (or 33784 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 252442520 is about 15888.4398227139. The cubic root of 252442520 is about 632.0054678264.

Adding to 252442520 its reverse (25244252), we get a palindrome (277686772).

The spelling of 252442520 in words is "two hundred fifty-two million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 33749 67498 134996 168745 269992 337490 371239 573733 674980 742478 1147466 1349960 1484956 1856195 2294932 2868665 2969912 3712390 4589864 5737330 6311063 7424780 11474660 12622126 14849560 22949320 25244252 31555315 50488504 63110630 126221260 252442520