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425591460 = 223257273661
BaseRepresentation
bin11001010111100…
…000001010100100
31002122211021201200
4121113200022210
51332422411320
6110121522500
713355316300
oct3127401244
91078737650
10425591460
111a9265188
12ba643430
136a231a88
1440746d00
152756b290
hex195e02a4

425591460 has 216 divisors, whose sum is σ = 1524604536. Its totient is φ = 95800320.

The previous prime is 425591401. The next prime is 425591461. The reversal of 425591460 is 64195524.

425591460 is a `hidden beast` number, since 4 + 2 + 5 + 591 + 4 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102454884 + 323136576 = 10122^2 + 17976^2 .

It is a super-2 number, since 2×4255914602 = 362256181649863200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (425591461) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 643530 + ... + 644190.

Almost surely, 2425591460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425591460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762302268).

425591460 is an abundant number, since it is smaller than the sum of its proper divisors (1099013076).

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

425591460 is a wasteful number, since it uses less digits than its factorization.

425591460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 425591460 is about 20629.8681527537. The cubic root of 425591460 is about 752.1959110249.

The spelling of 425591460 in words is "four hundred twenty-five million, five hundred ninety-one thousand, four hundred sixty".