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456135152 = 24112235607
BaseRepresentation
bin11011001100000…
…001000111110000
31011210022001210112
4123030001013300
51413232311102
6113132320452
714206041044
oct3314010760
91153261715
10456135152
11214527100
12108913128
1373667375
1444818024
152a0a1252
hex1b3011f0

456135152 has 30 divisors (see below), whose sum is σ = 971411784. Its totient is φ = 207333280.

The previous prime is 456135151. The next prime is 456135167. The reversal of 456135152 is 251531654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456135151) 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, 115868 + ... + 119739.

Almost surely, 2456135152 is an apocalyptic number.

It is an amenable number.

456135152 is an abundant number, since it is smaller than the sum of its proper divisors (515276632).

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

456135152 is a wasteful number, since it uses less digits than its factorization.

456135152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235637 (or 235620 counting only the distinct ones).

The product of its digits is 18000, while the sum is 32.

The square root of 456135152 is about 21357.3208057565. The cubic root of 456135152 is about 769.7762615253.

The spelling of 456135152 in words is "four hundred fifty-six million, one hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 235607 471214 942428 1884856 2591677 3769712 5183354 10366708 20733416 28508447 41466832 57016894 114033788 228067576 456135152