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423859968 = 2832741641
BaseRepresentation
bin11001010000111…
…001011100000000
31002112120022120100
4121100321130000
51332002004333
6110020442400
713334515230
oct3120713400
91075508510
10423859968
111a82922a4
12b9b49400
1369a7691c
1440415cc0
1527328213
hex19439700

423859968 has 216 divisors, whose sum is σ = 1432974816. Its totient is φ = 117964800.

The previous prime is 423859913. The next prime is 423859979. The reversal of 423859968 is 869958324.

423859968 is a `hidden beast` number, since 42 + 3 + 8 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×4238599682 = 359314544945922048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660928 + ... + 661568.

Almost surely, 2423859968 is an apocalyptic number.

423859968 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 423859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716487408).

423859968 is an abundant number, since it is smaller than the sum of its proper divisors (1009114848).

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

423859968 is a wasteful number, since it uses less digits than its factorization.

423859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 694 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 423859968 is about 20587.8597236332. The cubic root of 423859968 is about 751.1744373028.

The spelling of 423859968 in words is "four hundred twenty-three million, eight hundred fifty-nine thousand, nine hundred sixty-eight".