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152791272 = 2334235789
BaseRepresentation
bin10010001101101…
…10100011101000
3101122111121020000
421012312203220
5303103310042
623054503000
73533463414
oct1106664350
9348447200
10152791272
1179279387
1243204a60
132586854a
1416413d44
15d63174c
hex91b68e8

152791272 has 40 divisors (see below), whose sum is σ = 427958850. Its totient is φ = 50930208.

The previous prime is 152791271. The next prime is 152791273. The reversal of 152791272 is 272197251.

152791272 is a `hidden beast` number, since 1 + 527 + 9 + 127 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (152791271) and next prime (152791273).

It can be written as a sum of positive squares in only one way, i.e., 92044836 + 60746436 = 9594^2 + 7794^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152791271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 117247 + ... + 118542.

Almost surely, 2152791272 is an apocalyptic number.

152791272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152791272 is an abundant number, since it is smaller than the sum of its proper divisors (275167578).

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

152791272 is a wasteful number, since it uses less digits than its factorization.

152791272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235807 (or 235794 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 152791272 is about 12360.8766679391. The cubic root of 152791272 is about 534.6047938745.

The spelling of 152791272 in words is "one hundred fifty-two million, seven hundred ninety-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 235789 471578 707367 943156 1414734 1886312 2122101 2829468 4244202 5658936 6366303 8488404 12732606 16976808 19098909 25465212 38197818 50930424 76395636 152791272