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252046152 = 233218712
BaseRepresentation
bin11110000010111…
…10101101001000
3122120021021022200
433001132231020
51004010434102
641002120200
76150233301
oct1701365510
9576237280
10252046152
1111a301006
12704b0060
13402aab47
142568d7a8
15171da51c
hexf05eb48

252046152 has 36 divisors (see below), whose sum is σ = 682990035. Its totient is φ = 83970480.

The previous prime is 252046139. The next prime is 252046159. The reversal of 252046152 is 251640252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

252046152 is a `hidden beast` number, since 25 + 20 + 4 + 615 + 2 = 666.

252046152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 126023076 + 126023076 = 11226^2 + 11226^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11226.

It is not an unprimeable number, because it can be changed into a prime (252046159) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133777 + ... + 135647.

Almost surely, 2252046152 is an apocalyptic number.

It is an amenable number.

252046152 is an abundant number, since it is smaller than the sum of its proper divisors (430943883).

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

252046152 is an equidigital number, since it uses as much as digits as its factorization.

252046152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 252046152 is about 15875.9614512004. The cubic root of 252046152 is about 631.6745172833.

The spelling of 252046152 in words is "two hundred fifty-two million, forty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1871 3742 5613 7484 11226 14968 16839 22452 33678 44904 67356 134712 3500641 7001282 10501923 14002564 21003846 28005128 31505769 42007692 63011538 84015384 126023076 252046152