Search a number
-
+
152561232 = 243539239
BaseRepresentation
bin10010001011111…
…10011001010000
3101122001220200000
421011332121100
5303023424412
623045530000
73531514635
oct1105763120
9348056600
10152561232
117913156a
1243113900
13257b7925
141639418c
15d5d84dc
hex917e650

152561232 has 60 divisors (see below), whose sum is σ = 442784160. Its totient is φ = 50852448.

The previous prime is 152561191. The next prime is 152561251. The reversal of 152561232 is 232165251.

It is a happy number.

152561232 is a `hidden beast` number, since 15 + 2 + 5 + 612 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 152561196 and 152561205.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15732 + ... + 23507.

It is an arithmetic number, because the mean of its divisors is an integer number (7379736).

Almost surely, 2152561232 is an apocalyptic number.

152561232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152561232 is an abundant number, since it is smaller than the sum of its proper divisors (290222928).

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

152561232 is an equidigital number, since it uses as much as digits as its factorization.

152561232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39262 (or 39244 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 152561232 is about 12351.5679976269. The cubic root of 152561232 is about 534.3363617492.

The spelling of 152561232 in words is "one hundred fifty-two million, five hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 39239 78478 117717 156956 235434 313912 353151 470868 627824 706302 941736 1059453 1412604 1883472 2118906 2825208 3178359 4237812 5650416 6356718 8475624 9535077 12713436 16951248 19070154 25426872 38140308 50853744 76280616 152561232