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625963140 = 22375111301
BaseRepresentation
bin100101010011110…
…111000010000100
31121121212020000000
4211103313002010
52240221310030
6142040321300
721340412265
oct4523670204
91547766000
10625963140
112a1381410
12155773230
139c8b92ba
145d1c496c
1539e4a860
hex254f7084

625963140 has 192 divisors, whose sum is σ = 2152362240. Its totient is φ = 151632000.

The previous prime is 625963139. The next prime is 625963183. The reversal of 625963140 is 41369526.

It is a happy number.

625963140 is a `hidden beast` number, since 62 + 596 + 3 + 1 + 4 + 0 = 666.

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 = 625963095 and 625963104.

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 63 ways as a sum of consecutive naturals, for example, 480490 + ... + 481790.

It is an arithmetic number, because the mean of its divisors is an integer number (11210220).

Almost surely, 2625963140 is an apocalyptic number.

625963140 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 625963140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076181120).

625963140 is an abundant number, since it is smaller than the sum of its proper divisors (1526399100).

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

625963140 is a wasteful number, since it uses less digits than its factorization.

625963140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 625963140 is about 25019.2553846033. The cubic root of 625963140 is about 855.4269335950.

The spelling of 625963140 in words is "six hundred twenty-five million, nine hundred sixty-three thousand, one hundred forty".