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426468816 = 24322961589
BaseRepresentation
bin11001011010110…
…110010111010000
31002201110212020100
4121122312113100
51333134000231
6110152412400
713365632214
oct3132662720
91081425210
10426468816
111a9804374
12ba9a7100
136a47b217
14408d4944
15276911e6
hex196b65d0

426468816 has 30 divisors (see below), whose sum is σ = 1193520770. Its totient is φ = 142156224.

The previous prime is 426468803. The next prime is 426468821. The reversal of 426468816 is 618864624.

It can be written as a sum of positive squares in only one way, i.e., 343731600 + 82737216 = 18540^2 + 9096^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1480651 + ... + 1480938.

Almost surely, 2426468816 is an apocalyptic number.

It is an amenable number.

426468816 is an abundant number, since it is smaller than the sum of its proper divisors (767051954).

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

426468816 is a wasteful number, since it uses less digits than its factorization.

426468816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961603 (or 2961594 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 426468816 is about 20651.1214223344. The cubic root of 426468816 is about 752.7124397349.

The spelling of 426468816 in words is "four hundred twenty-six million, four hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2961589 5923178 8884767 11846356 17769534 23692712 26654301 35539068 47385424 53308602 71078136 106617204 142156272 213234408 426468816