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426374928 = 24347431093
BaseRepresentation
bin11001011010011…
…111011100010000
31002201022002110000
4121122133130100
51333122444203
6110150410000
713365061410
oct3132373420
91081262400
10426374928
111a974a881
12ba960900
136a447575
14408ac640
15276734a3
hex1969f710

426374928 has 200 divisors, whose sum is σ = 1444465088. Its totient is φ = 118879488.

The previous prime is 426374917. The next prime is 426374947. The reversal of 426374928 is 829473624.

426374928 is a `hidden beast` number, since 4 + 2 + 637 + 4 + 9 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389550 + ... + 390642.

Almost surely, 2426374928 is an apocalyptic number.

426374928 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 426374928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722232544).

426374928 is an abundant number, since it is smaller than the sum of its proper divisors (1018090160).

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

426374928 is a wasteful number, since it uses less digits than its factorization.

426374928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1148 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 426374928 is about 20648.8481034657. The cubic root of 426374928 is about 752.6571986094.

The spelling of 426374928 in words is "four hundred twenty-six million, three hundred seventy-four thousand, nine hundred twenty-eight".