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252431153 = 1373461577
BaseRepresentation
bin11110000101111…
…00101100110001
3122120222211102222
433002330230301
51004110244103
641014250425
76153425612
oct1702745461
9576884388
10252431153
1111a544297
1270656a15
13403b4160
142574dc09
1517264638
hexf0bcb31

252431153 has 16 divisors (see below), whose sum is σ = 276649296. Its totient is φ = 228925440.

The previous prime is 252431129. The next prime is 252431173. The reversal of 252431153 is 351134252.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2411809 + 250019344 = 1553^2 + 15812^2 .

It is a cyclic number.

It is not a de Polignac number, because 252431153 - 28 = 252430897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252431173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437201 + ... + 437777.

It is an arithmetic number, because the mean of its divisors is an integer number (17290581).

Almost surely, 2252431153 is an apocalyptic number.

It is an amenable number.

252431153 is a deficient number, since it is larger than the sum of its proper divisors (24218143).

252431153 is a wasteful number, since it uses less digits than its factorization.

252431153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124.

The product of its digits is 3600, while the sum is 26.

The square root of 252431153 is about 15888.0821057798. The cubic root of 252431153 is about 631.9959816881.

The spelling of 252431153 in words is "two hundred fifty-two million, four hundred thirty-one thousand, one hundred fifty-three".

Divisors: 1 13 73 461 577 949 5993 7501 33653 42121 265997 437489 547573 3457961 19417781 252431153