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625640000 = 265415641
BaseRepresentation
bin100101010010101…
…000001001000000
31121121020210201212
4211102220021000
52240130440000
6142025345252
721334565216
oct4522501100
91547223655
10625640000
112a1180657
12155638228
139c8051ab
145d13ccb6
1539dd4c35
hex254a8240

625640000 has 70 divisors (see below), whose sum is σ = 1551483054. Its totient is φ = 250240000.

The previous prime is 625639979. The next prime is 625640017. The reversal of 625640000 is 46526.

It can be written as a sum of positive squares in 5 ways, for example, as 60341824 + 565298176 = 7768^2 + 23776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 32180 + ... + 47820.

Almost surely, 2625640000 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 625640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775741527).

625640000 is an abundant number, since it is smaller than the sum of its proper divisors (925843054).

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

625640000 is an equidigital number, since it uses as much as digits as its factorization.

625640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15673 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 625640000 is about 25012.7967248766. The cubic root of 625640000 is about 855.2797096766.

Adding to 625640000 its reverse (46526), we get a palindrome (625686526).

It can be divided in two parts, 625 and 640000, that multiplied together give a square (400000000 = 200002).

The spelling of 625640000 in words is "six hundred twenty-five million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 15641 20000 31282 40000 62564 78205 125128 156410 250256 312820 391025 500512 625640 782050 1001024 1251280 1564100 1955125 2502560 3128200 3910250 5005120 6256400 7820500 9775625 12512800 15641000 19551250 25025600 31282000 39102500 62564000 78205000 125128000 156410000 312820000 625640000