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625056 = 25317383
BaseRepresentation
bin10011000100110100000
31011202102020
42120212200
5130000211
621221440
75212215
oct2304640
91152366
10625056
11397683
12261880
1318b673
14123b0c
15c5306
hex989a0

625056 has 48 divisors (see below), whose sum is σ = 1741824. Its totient is φ = 195584.

The previous prime is 625033. The next prime is 625057. The reversal of 625056 is 650526.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (625057) by changing a digit.

625056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1441 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2625056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912).

625056 is an abundant number, since it is smaller than the sum of its proper divisors (1116768).

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

625056 is a wasteful number, since it uses less digits than its factorization.

625056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 625056 is about 790.6048317586. The cubic root of 625056 is about 85.5013508217.

The spelling of 625056 in words is "six hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 383 408 544 766 816 1149 1532 1632 2298 3064 4596 6128 6511 9192 12256 13022 18384 19533 26044 36768 39066 52088 78132 104176 156264 208352 312528 625056