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625427040 = 25357238093
BaseRepresentation
bin100101010001110…
…100001001100000
31121120211222121110
4211101310021200
52240102131130
6142021023320
721333020310
oct4521641140
91546758543
10625427040
112a1045657
12155554b40
139c75c294
145d0c5440
1539d91ab0
hex25474260

625427040 has 192 divisors, whose sum is σ = 2349720576. Its totient is φ = 136722432.

The previous prime is 625427027. The next prime is 625427041. The reversal of 625427040 is 40724526.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 625426989 and 625427007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625427041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73234 + ... + 81326.

It is an arithmetic number, because the mean of its divisors is an integer number (12238128).

Almost surely, 2625427040 is an apocalyptic number.

625427040 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 625427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174860288).

625427040 is an abundant number, since it is smaller than the sum of its proper divisors (1724293536).

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

625427040 is a wasteful number, since it uses less digits than its factorization.

625427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8141 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 625427040 is about 25008.5393415929. The cubic root of 625427040 is about 855.1826565060.

The spelling of 625427040 in words is "six hundred twenty-five million, four hundred twenty-seven thousand, forty".