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423268800 = 26352109809
BaseRepresentation
bin11001001110101…
…001000111000000
31002111110021122020
4121032221013000
51331324100200
6110000041440
713326503553
oct3116510700
91074407566
10423268800
111a7a19129
12b9903280
13698ca816
144030069a
152725cea0
hex193a91c0

423268800 has 168 divisors, whose sum is σ = 1403146800. Its totient is φ = 111697920.

The previous prime is 423268799. The next prime is 423268831. The reversal of 423268800 is 8862324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522796 + ... + 523604.

Almost surely, 2423268800 is an apocalyptic number.

423268800 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 423268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701573400).

423268800 is an abundant number, since it is smaller than the sum of its proper divisors (979878000).

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

423268800 is a wasteful number, since it uses less digits than its factorization.

423268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 423268800 is about 20573.4975150070. The cubic root of 423268800 is about 750.8250476180.

The spelling of 423268800 in words is "four hundred twenty-three million, two hundred sixty-eight thousand, eight hundred".