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425393280 = 273251321923
BaseRepresentation
bin11001010110101…
…111110010000000
31002122110012212200
4121112233302000
51332400041110
6110113353200
713353532434
oct3126576200
91078405780
10425393280
111a913a2a4
12ba568800
136a192800
14406d49c4
152752c6c0
hex195afc80

425393280 has 576 divisors, whose sum is σ = 1747137600. Its totient is φ = 94887936.

The previous prime is 425393279. The next prime is 425393291. The reversal of 425393280 is 82393524.

425393280 is a `hidden beast` number, since 42 + 539 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 18495349 + ... + 18495371.

It is an arithmetic number, because the mean of its divisors is an integer number (3033225).

Almost surely, 2425393280 is an apocalyptic number.

425393280 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 425393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873568800).

425393280 is an abundant number, since it is smaller than the sum of its proper divisors (1321744320).

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

425393280 is a wasteful number, since it uses less digits than its factorization.

425393280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 425393280 is about 20625.0643635359. The cubic root of 425393280 is about 752.0791375898.

The spelling of 425393280 in words is "four hundred twenty-five million, three hundred ninety-three thousand, two hundred eighty".