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152268192 = 2532528709
BaseRepresentation
bin10010001001101…
…10110110100000
3101121112000200200
421010312312200
5302440040232
623035345200
73526154406
oct1104666640
9347460620
10152268192
1178a5138a
1242bb2200
132571442b
1416319476
15d57b77c
hex9136da0

152268192 has 36 divisors (see below), whose sum is σ = 433013490. Its totient is φ = 50755968.

The previous prime is 152268173. The next prime is 152268197. The reversal of 152268192 is 291862251.

It can be written as a sum of positive squares in only one way, i.e., 112275216 + 39992976 = 10596^2 + 6324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (152268197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264067 + ... + 264642.

Almost surely, 2152268192 is an apocalyptic number.

152268192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152268192 is an abundant number, since it is smaller than the sum of its proper divisors (280745298).

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

152268192 is a wasteful number, since it uses less digits than its factorization.

152268192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528725 (or 528714 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 152268192 is about 12339.6998342747. The cubic root of 152268192 is about 533.9940242567.

The spelling of 152268192 in words is "one hundred fifty-two million, two hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 528709 1057418 1586127 2114836 3172254 4229672 4758381 6344508 8459344 9516762 12689016 16918688 19033524 25378032 38067048 50756064 76134096 152268192