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426897900 = 223252111331107
BaseRepresentation
bin11001011100011…
…111000111101100
31002202021122211100
4121130133013230
51333241213100
6110205523100
713402400202
oct3134370754
91082248740
10426897900
111a9a77790
12bab73490
136a59b610
14409a7072
1527728400
hex1971f1ec

426897900 has 432 divisors, whose sum is σ = 1637895168. Its totient is φ = 91584000.

The previous prime is 426897857. The next prime is 426897901. The reversal of 426897900 is 9798624.

It is a happy number.

It is a super-3 number, since 3×4268979003 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426897901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3989647 + ... + 3989753.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424).

Almost surely, 2426897900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426897900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818947584).

426897900 is an abundant number, since it is smaller than the sum of its proper divisors (1210997268).

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

426897900 is a wasteful number, since it uses less digits than its factorization.

426897900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 426897900 is about 20661.5076894209. The cubic root of 426897900 is about 752.9647978549.

The spelling of 426897900 in words is "four hundred twenty-six million, eight hundred ninety-seven thousand, nine hundred".