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152815032 = 23333719121
BaseRepresentation
bin10010001101111…
…00010110111000
3101122112210211000
421012330112320
5303110040112
623055205000
73533622606
oct1106742670
9348483730
10152815032
1179295217
1243216760
13258762c6
141641c876
15d6387dc
hex91bc5b8

152815032 has 64 divisors (see below), whose sum is σ = 435981600. Its totient is φ = 49559040.

The previous prime is 152814979. The next prime is 152815063. The reversal of 152815032 is 230518251.

It is a happy number.

152815032 is a `hidden beast` number, since 152 + 8 + 1 + 503 + 2 = 666.

152815032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1528150322 = 46704868010322048, which contains 22 as substring.

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 = 152814987 and 152815005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569 + ... + 17552.

Almost surely, 2152815032 is an apocalyptic number.

152815032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152815032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217990800).

152815032 is an abundant number, since it is smaller than the sum of its proper divisors (283166568).

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

152815032 is a wasteful number, since it uses less digits than its factorization.

152815032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19173 (or 19163 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 152815032 is about 12361.8377274578. The cubic root of 152815032 is about 534.6325039031.

The spelling of 152815032 in words is "one hundred fifty-two million, eight hundred fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 19121 38242 57363 76484 114726 152968 172089 229452 344178 458904 516267 688356 707477 1032534 1376712 1414954 2065068 2122431 2829908 4130136 4244862 5659816 6367293 8489724 12734586 16979448 19101879 25469172 38203758 50938344 76407516 152815032