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426233808 = 2432711132957
BaseRepresentation
bin11001011001111…
…100111111010000
31002201000220212100
4121121330333100
51333103440213
6110143400400
713363633110
oct3131747720
91081026770
10426233808
111a9663850
12ba8b3100
136a3c8270
1440873040
1527646773
hex1967cfd0

426233808 has 240 divisors, whose sum is σ = 1602147456. Its totient is φ = 102159360.

The previous prime is 426233789. The next prime is 426233867. The reversal of 426233808 is 808332624.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142666 + ... + 145622.

Almost surely, 2426233808 is an apocalyptic number.

426233808 is a gapful number since it is divisible by the number (48) 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 426233808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801073728).

426233808 is an abundant number, since it is smaller than the sum of its proper divisors (1175913648).

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

426233808 is a wasteful number, since it uses less digits than its factorization.

426233808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 426233808 is about 20645.4306809037. The cubic root of 426233808 is about 752.5741522127.

The spelling of 426233808 in words is "four hundred twenty-six million, two hundred thirty-three thousand, eight hundred eight".