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152712261 = 32131305233
BaseRepresentation
bin10010001101000…
…11010001000101
3101122100120211200
421012203101011
5303043243021
623053053113
73533014152
oct1106432105
9348316750
10152712261
1179224a89
1243187199
132583b5b0
14163d3229
15d618126
hex91a3445

152712261 has 12 divisors (see below), whose sum is σ = 237552588. Its totient is φ = 93976704.

The previous prime is 152712257. The next prime is 152712299. The reversal of 152712261 is 162217251.

It can be written as a sum of positive squares in 2 ways, for example, as 40564161 + 112148100 = 6369^2 + 10590^2 .

It is not a de Polignac number, because 152712261 - 22 = 152712257 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152712251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652500 + ... + 652733.

It is an arithmetic number, because the mean of its divisors is an integer number (19796049).

Almost surely, 2152712261 is an apocalyptic number.

It is an amenable number.

152712261 is a deficient number, since it is larger than the sum of its proper divisors (84840327).

152712261 is a wasteful number, since it uses less digits than its factorization.

152712261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305252 (or 1305249 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 152712261 is about 12357.6802434761. The cubic root of 152712261 is about 534.5126268681.

The spelling of 152712261 in words is "one hundred fifty-two million, seven hundred twelve thousand, two hundred sixty-one".

Divisors: 1 3 9 13 39 117 1305233 3915699 11747097 16968029 50904087 152712261