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425467800 = 2332522343239
BaseRepresentation
bin11001010111000…
…001111110011000
31002122121000002200
4121113001332120
51332404432200
6110115130200
713354262622
oct3127017630
91078530080
10425467800
111a919028a
12ba5a3960
136a1ba6c4
1440713c12
1527544800
hex195c1f98

425467800 has 288 divisors, whose sum is σ = 1532044800. Its totient is φ = 105557760.

The previous prime is 425467781. The next prime is 425467811. The reversal of 425467800 is 8764524.

425467800 is a `hidden beast` number, since 42 + 546 + 78 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 1780081 + ... + 1780319.

It is an arithmetic number, because the mean of its divisors is an integer number (5319600).

Almost surely, 2425467800 is an apocalyptic number.

425467800 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 425467800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766022400).

425467800 is an abundant number, since it is smaller than the sum of its proper divisors (1106577000).

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

425467800 is a wasteful number, since it uses less digits than its factorization.

425467800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 425467800 is about 20626.8708242428. The cubic root of 425467800 is about 752.1230512008.

The spelling of 425467800 in words is "four hundred twenty-five million, four hundred sixty-seven thousand, eight hundred".