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252531141 = 31747137769
BaseRepresentation
bin11110000110101…
…01000111000101
3122121011220121020
433003111013011
51004121444031
641020341353
76154323252
oct1703250705
9577156536
10252531141
1111a602425
12706a4859
134041a815
1425778429
1517284096
hexf0d51c5

252531141 has 32 divisors (see below), whose sum is σ = 367234560. Its totient is φ = 153747456.

The previous prime is 252531137. The next prime is 252531187. The reversal of 252531141 is 141135252.

It is a happy number.

252531141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252531141 - 22 = 252531137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252531121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328005 + ... + 328773.

It is an arithmetic number, because the mean of its divisors is an integer number (11476080).

Almost surely, 2252531141 is an apocalyptic number.

It is an amenable number.

252531141 is a deficient number, since it is larger than the sum of its proper divisors (114703419).

252531141 is a wasteful number, since it uses less digits than its factorization.

252531141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973.

The product of its digits is 1200, while the sum is 24.

The square root of 252531141 is about 15891.2284295457. The cubic root of 252531141 is about 632.0794152261.

Adding to 252531141 its reverse (141135252), we get a palindrome (393666393).

The spelling of 252531141 in words is "two hundred fifty-two million, five hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 17 47 51 137 141 411 769 799 2307 2329 2397 6439 6987 13073 19317 36143 39219 105353 108429 109463 316059 328389 614431 1791001 1843293 4951591 5373003 14854773 84177047 252531141