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253066032 = 243565089
BaseRepresentation
bin11110001010101…
…11101100110000
3122122012002100000
433011113230300
51004241103112
641040030000
76162011562
oct1705275460
9578162300
10253066032
1111a93828a
1270902300
134057711b
1425877332
151733c7dc
hexf157b30

253066032 has 60 divisors (see below), whose sum is σ = 734475560. Its totient is φ = 84354048.

The previous prime is 253066031. The next prime is 253066049. The reversal of 253066032 is 230660352.

253066032 is a `hidden beast` number, since 2 + 53 + 0 + 6 + 603 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 253065987 and 253066005.

It is not an unprimeable number, because it can be changed into a prime (253066031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28657 + ... + 36432.

Almost surely, 2253066032 is an apocalyptic number.

It is an amenable number.

253066032 is an abundant number, since it is smaller than the sum of its proper divisors (481409528).

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

253066032 is an equidigital number, since it uses as much as digits as its factorization.

253066032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65112 (or 65094 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 253066032 is about 15908.0492833031. The cubic root of 253066032 is about 632.5253736429.

The spelling of 253066032 in words is "two hundred fifty-three million, sixty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 65089 130178 195267 260356 390534 520712 585801 781068 1041424 1171602 1562136 1757403 2343204 3124272 3514806 4686408 5272209 7029612 9372816 10544418 14059224 15816627 21088836 28118448 31633254 42177672 63266508 84355344 126533016 253066032