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425076960 = 253572113153
BaseRepresentation
bin11001010101100…
…010100011100000
31002121212010222010
4121111202203200
51332304430320
6110102512520
713351044300
oct3125424340
91077763863
10425076960
111a8a43680
12ba435740
136a0b1839
1440651600
15274b8ae0
hex195628e0

425076960 has 576 divisors, whose sum is σ = 1787111424. Its totient is φ = 83865600.

The previous prime is 425076941. The next prime is 425077019. The reversal of 425076960 is 69670524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8020294 + ... + 8020346.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 2425076960 is an apocalyptic number.

425076960 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 425076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893555712).

425076960 is an abundant number, since it is smaller than the sum of its proper divisors (1362034464).

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

425076960 is a wasteful number, since it uses less digits than its factorization.

425076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 425076960 is about 20617.3945977662. The cubic root of 425076960 is about 751.8926774561.

The spelling of 425076960 in words is "four hundred twenty-five million, seventy-six thousand, nine hundred sixty".