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625023296 = 264724421
BaseRepresentation
bin100101010000010…
…001100101000000
31121120002110202222
4211100101211000
52240001221141
6142004230212
721326416232
oct4520214500
91546073688
10625023296
112a089a287
1215539b368
139c64a591
145d01c252
1539d1214b
hex25411940

625023296 has 42 divisors (see below), whose sum is σ = 1267517658. Its totient is φ = 305793280.

The previous prime is 625023293. The next prime is 625023307. The reversal of 625023296 is 692320526.

It can be written as a sum of positive squares in only one way, i.e., 597313600 + 27709696 = 24440^2 + 5264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625023293) 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, 139166 + ... + 143586.

Almost surely, 2625023296 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 625023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633758829).

625023296 is an abundant number, since it is smaller than the sum of its proper divisors (642494362).

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

625023296 is an equidigital number, since it uses as much as digits as its factorization.

625023296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 625023296 is about 25000.4659156585. The cubic root of 625023296 is about 854.9985960329.

The spelling of 625023296 in words is "six hundred twenty-five million, twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 2209 3008 4418 4421 8836 8842 17672 17684 35344 35368 70688 70736 141376 141472 207787 282944 415574 831148 1662296 3324592 6649184 9765989 13298368 19531978 39063956 78127912 156255824 312511648 625023296