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425525760 = 29325112373
BaseRepresentation
bin11001010111010…
…000001000000000
31002122200221121100
4121113100020000
51332413311020
6110120254400
713354623612
oct3127201000
91078627540
10425525760
111a921a890
12ba611400
136a20abba
144072adb2
1527556a90
hex195d0200

425525760 has 480 divisors, whose sum is σ = 1700569728. Its totient is φ = 97320960.

The previous prime is 425525719. The next prime is 425525797. The reversal of 425525760 is 67525524.

425525760 is a `hidden beast` number, since 42 + 552 + 5 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5829084 + ... + 5829156.

Almost surely, 2425525760 is an apocalyptic number.

425525760 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 425525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850284864).

425525760 is an abundant number, since it is smaller than the sum of its proper divisors (1275043968).

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

425525760 is a wasteful number, since it uses less digits than its factorization.

425525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 425525760 is about 20628.2757398674. The cubic root of 425525760 is about 752.1572026866.

The spelling of 425525760 in words is "four hundred twenty-five million, five hundred twenty-five thousand, seven hundred sixty".