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425995200 = 26345219173
BaseRepresentation
bin11001011001000…
…010101111000000
31002200120210120000
4121121002233000
51333023321300
6110134320000
713361620341
oct3131025700
91080523500
10425995200
111a9510554
12ba7b9000
136a343787
14408100c8
15275eac00
hex19642bc0

425995200 has 420 divisors, whose sum is σ = 1657791960. Its totient is φ = 106997760.

The previous prime is 425995187. The next prime is 425995201. The reversal of 425995200 is 2599524.

It is a happy number.

425995200 is a `hidden beast` number, since 42 + 5 + 99 + 520 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425995201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462314 + ... + 2462486.

Almost surely, 2425995200 is an apocalyptic number.

425995200 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 425995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828895980).

425995200 is an abundant number, since it is smaller than the sum of its proper divisors (1231796760).

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

425995200 is a wasteful number, since it uses less digits than its factorization.

425995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 425995200 is about 20639.6511598428. The cubic root of 425995200 is about 752.4336943008.

The spelling of 425995200 in words is "four hundred twenty-five million, nine hundred ninety-five thousand, two hundred".