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425493600 = 253527193143
BaseRepresentation
bin11001010111001…
…000010001100000
31002122122022111020
4121113020101200
51332411243400
6110115445440
713354431060
oct3127102140
91078568436
10425493600
111a91a8704
12ba5b6880
136a1c937c
144071d3a0
152754c2a0
hex195c8460

425493600 has 576 divisors, whose sum is σ = 1759887360. Its totient is φ = 87091200.

The previous prime is 425493587. The next prime is 425493611. The reversal of 425493600 is 6394524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9895179 + ... + 9895221.

It is an arithmetic number, because the mean of its divisors is an integer number (3055360).

Almost surely, 2425493600 is an apocalyptic number.

425493600 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 425493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879943680).

425493600 is an abundant number, since it is smaller than the sum of its proper divisors (1334393760).

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

425493600 is a wasteful number, since it uses less digits than its factorization.

425493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 425493600 is about 20627.4962125799. The cubic root of 425493600 is about 752.1382535909.

The spelling of 425493600 in words is "four hundred twenty-five million, four hundred ninety-three thousand, six hundred".