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4256325360 = 2433571729571
BaseRepresentation
bin1111110110110010…
…0101111011110000
3101222122000201202000
43331230211323300
532204104402420
61542203454000
7210322111560
oct37554457360
911878021660
104256325360
111894648271
129a9527300
1352aa6a221
142c53d8da0
1519da08690
hexfdb25ef0

4256325360 has 640 divisors, whose sum is σ = 18384537600. Its totient is φ = 882524160.

The previous prime is 4256325349. The next prime is 4256325379. The reversal of 4256325360 is 635236524.

4256325360 is a `hidden beast` number, since 42 + 56 + 32 + 536 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7453875 + ... + 7454445.

It is an arithmetic number, because the mean of its divisors is an integer number (28725840).

Almost surely, 24256325360 is an apocalyptic number.

4256325360 is a gapful number since it is divisible by the number (40) 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 4256325360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192268800).

4256325360 is an abundant number, since it is smaller than the sum of its proper divisors (14128212240).

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

4256325360 is a wasteful number, since it uses less digits than its factorization.

4256325360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 4256325360 is about 65240.5193112379. The cubic root of 4256325360 is about 1620.6090988045.

The spelling of 4256325360 in words is "four billion, two hundred fifty-six million, three hundred twenty-five thousand, three hundred sixty".