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625674240 = 2113353173
BaseRepresentation
bin100101010010110…
…000100000000000
31121121022112201000
4211102300200000
52240133033430
6142030212000
721335100102
oct4522604000
91547275630
10625674240
112a11a4354
12155654000
139c817959
145d14b572
1539ddee60
hex254b0800

625674240 has 384 divisors, whose sum is σ = 2327270400. Its totient is φ = 159252480.

The previous prime is 625674211. The next prime is 625674253. The reversal of 625674240 is 42476526.

625674240 is a `hidden beast` number, since 625 + 6 + 7 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 625674195 and 625674204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8570844 + ... + 8570916.

It is an arithmetic number, because the mean of its divisors is an integer number (6060600).

Almost surely, 2625674240 is an apocalyptic number.

625674240 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 625674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163635200).

625674240 is an abundant number, since it is smaller than the sum of its proper divisors (1701596160).

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

625674240 is a wasteful number, since it uses less digits than its factorization.

625674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 625674240 is about 25013.4811651637. The cubic root of 625674240 is about 855.2953119628.

The spelling of 625674240 in words is "six hundred twenty-five million, six hundred seventy-four thousand, two hundred forty".