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252137151 = 3378316073
BaseRepresentation
bin11110000011101…
…00111010111111
3122120102220011000
433001310322333
51004021342101
641004101343
76151062510
oct1701647277
9576386130
10252137151
1111a363412
1270534853
13403103a6
14256b4a07
1517207486
hexf074ebf

252137151 has 32 divisors (see below), whose sum is σ = 432069120. Its totient is φ = 142333632.

The previous prime is 252137131. The next prime is 252137153. The reversal of 252137151 is 151731252.

It is not a de Polignac number, because 252137151 - 27 = 252137023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252137153) 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, 7651 + ... + 23723.

It is an arithmetic number, because the mean of its divisors is an integer number (13502160).

Almost surely, 2252137151 is an apocalyptic number.

252137151 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

252137151 is a deficient number, since it is larger than the sum of its proper divisors (179931969).

252137151 is a wasteful number, since it uses less digits than its factorization.

252137151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16172 (or 16166 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 252137151 is about 15878.8271292309. The cubic root of 252137151 is about 631.7505282739.

The spelling of 252137151 in words is "two hundred fifty-two million, one hundred thirty-seven thousand, one hundred fifty-one".

Divisors: 1 3 7 9 21 27 63 83 189 249 581 747 1743 2241 5229 15687 16073 48219 112511 144657 337533 433971 1012599 1334059 3037797 4002177 9338413 12006531 28015239 36019593 84045717 252137151