Search a number
-
+
152952336 = 24321062169
BaseRepresentation
bin10010001110111…
…01111000010000
3101122210210011100
421013131320100
5303123433321
623102144400
73535034115
oct1107357020
9348723140
10152952336
1179379399
1243282100
13258c3954
141645690c
15d664326
hex91dde10

152952336 has 30 divisors (see below), whose sum is σ = 428054510. Its totient is φ = 50984064.

The previous prime is 152952313. The next prime is 152952341. The reversal of 152952336 is 633259251.

It can be written as a sum of positive squares in only one way, i.e., 147476736 + 5475600 = 12144^2 + 2340^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 152952336.

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 5 ways as a sum of consecutive naturals, for example, 530941 + ... + 531228.

Almost surely, 2152952336 is an apocalyptic number.

152952336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152952336 is an abundant number, since it is smaller than the sum of its proper divisors (275102174).

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

152952336 is a wasteful number, since it uses less digits than its factorization.

152952336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062183 (or 1062174 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 152952336 is about 12367.3900237682. The cubic root of 152952336 is about 534.7925780483.

The spelling of 152952336 in words is "one hundred fifty-two million, nine hundred fifty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1062169 2124338 3186507 4248676 6373014 8497352 9559521 12746028 16994704 19119042 25492056 38238084 50984112 76476168 152952336