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425832960 = 29357892
BaseRepresentation
bin11001011000011…
…011001000000000
31002200021120000010
4121120123020000
51333003123320
6110131024520
713360343340
oct3130331000
91080246003
10425832960
111a940a673
12ba73b140
136a2b7987
14407aad20
15275b7ae0
hex1961b200

425832960 has 240 divisors, whose sum is σ = 1573488576. Its totient is φ = 96239616.

The previous prime is 425832907. The next prime is 425832991. The reversal of 425832960 is 69238524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4784596 + ... + 4784684.

Almost surely, 2425832960 is an apocalyptic number.

425832960 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 425832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786744288).

425832960 is an abundant number, since it is smaller than the sum of its proper divisors (1147655616).

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

425832960 is an frugal number, since it uses more digits than its factorization.

425832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 425832960 is about 20635.7204865738. The cubic root of 425832960 is about 752.3381608745.

The spelling of 425832960 in words is "four hundred twenty-five million, eight hundred thirty-two thousand, nine hundred sixty".