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426250800 = 243252167709
BaseRepresentation
bin11001011010000…
…001001000110000
31002201001210011200
4121122001020300
51333110011200
6110144011200
713364033463
oct3132011060
91081053150
10426250800
111a9675598
12ba900b00
136a402c11
14408792da
152764b800
hex19681230

426250800 has 180 divisors, whose sum is σ = 1490165040. Its totient is φ = 112826880.

The previous prime is 426250711. The next prime is 426250831. The reversal of 426250800 is 8052624.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 600846 + ... + 601554.

Almost surely, 2426250800 is an apocalyptic number.

426250800 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 426250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745082520).

426250800 is an abundant number, since it is smaller than the sum of its proper divisors (1063914240).

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

426250800 is a wasteful number, since it uses less digits than its factorization.

426250800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 426250800 is about 20645.8421964327. The cubic root of 426250800 is about 752.5841526473.

The spelling of 426250800 in words is "four hundred twenty-six million, two hundred fifty thousand, eight hundred".