Search a number
-
+
152034192 = 2433351931
BaseRepresentation
bin10010000111111…
…01101110010000
3101121002010201000
421003331232100
5302410043232
623030342000
73524161242
oct1103755620
9347063630
10152034192
11789015a2
1242aba900
1325661a7b
1416298092
15d53227c
hex90fdb90

152034192 has 40 divisors (see below), whose sum is σ = 436395680. Its totient is φ = 50677920.

The previous prime is 152034149. The next prime is 152034193. The reversal of 152034192 is 291430251.

152034192 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 2×1520341922 = 46228791074185728, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (152034193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175534 + ... + 176397.

It is an arithmetic number, because the mean of its divisors is an integer number (10909892).

Almost surely, 2152034192 is an apocalyptic number.

152034192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152034192 is an abundant number, since it is smaller than the sum of its proper divisors (284361488).

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

152034192 is a wasteful number, since it uses less digits than its factorization.

152034192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351948 (or 351936 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 152034192 is about 12330.2145966727. The cubic root of 152034192 is about 533.7203434061.

The spelling of 152034192 in words is "one hundred fifty-two million, thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 351931 703862 1055793 1407724 2111586 2815448 3167379 4223172 5630896 6334758 8446344 9502137 12669516 16892688 19004274 25339032 38008548 50678064 76017096 152034192