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625464640 = 2656612957
BaseRepresentation
bin100101010001111…
…101010101000000
31121120220220012001
4211101331111000
52240104332030
6142021513344
721333235033
oct4521752500
91546826161
10625464640
112a1070929
12155572854
139c773428
145d0d501a
1539d9ccca
hex2547d540

625464640 has 56 divisors (see below), whose sum is σ = 1492145352. Its totient is φ = 249722880.

The previous prime is 625464611. The next prime is 625464643. The reversal of 625464640 is 46464526.

It can be written as a sum of positive squares in 4 ways, for example, as 57881664 + 567582976 = 7608^2 + 23824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 625464640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625464643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210042 + ... + 212998.

Almost surely, 2625464640 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 625464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746072676).

625464640 is an abundant number, since it is smaller than the sum of its proper divisors (866680712).

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

625464640 is a wasteful number, since it uses less digits than its factorization.

625464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 625464640 is about 25009.2910735191. The cubic root of 625464640 is about 855.1997937159.

The spelling of 625464640 in words is "six hundred twenty-five million, four hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 661 1322 2644 2957 3305 5288 5914 6610 10576 11828 13220 14785 21152 23656 26440 29570 42304 47312 52880 59140 94624 105760 118280 189248 211520 236560 473120 946240 1954577 3909154 7818308 9772885 15636616 19545770 31273232 39091540 62546464 78183080 125092928 156366160 312732320 625464640