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625308840 = 2332513532521
BaseRepresentation
bin100101010001010…
…111010010101000
31121120121222110200
4211101113102220
52240034340330
6142014312200
721332015562
oct4521272250
91546558420
10625308840
112a0a74872
121554b8660
139c71a540
145d094332
1539d6ba60
hex254574a8

625308840 has 192 divisors, whose sum is σ = 2230759440. Its totient is φ = 150958080.

The previous prime is 625308833. The next prime is 625308883. The reversal of 625308840 is 48803526.

625308840 is a `hidden beast` number, since 6 + 2 + 530 + 88 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39765636 + 585543204 = 6306^2 + 24198^2 .

It is a super-2 number, since 2×6253088402 = 782022290764291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 625308795 and 625308804.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 246780 + ... + 249300.

Almost surely, 2625308840 is an apocalyptic number.

625308840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625308840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115379720).

625308840 is an abundant number, since it is smaller than the sum of its proper divisors (1605450600).

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

625308840 is a wasteful number, since it uses less digits than its factorization.

625308840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 625308840 is about 25006.1760371313. The cubic root of 625308840 is about 855.1287792071.

The spelling of 625308840 in words is "six hundred twenty-five million, three hundred eight thousand, eight hundred forty".