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426409800 = 23352710683
BaseRepresentation
bin11001011010100…
…111111101001000
31002201100212021120
4121122213331020
51333130103200
6110151235240
713365265155
oct3132477510
91081325246
10426409800
111a9773aa3
12ba978b20
136a45a3bb
14408bb22c
152767d9a0
hex196a7f48

426409800 has 48 divisors (see below), whose sum is σ = 1321872240. Its totient is φ = 113709120.

The previous prime is 426409771. The next prime is 426409813. The reversal of 426409800 is 8904624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354742 + ... + 355941.

It is an arithmetic number, because the mean of its divisors is an integer number (27539005).

Almost surely, 2426409800 is an apocalyptic number.

426409800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426409800 is an abundant number, since it is smaller than the sum of its proper divisors (895462440).

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

426409800 is a wasteful number, since it uses less digits than its factorization.

426409800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710702 (or 710693 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 426409800 is about 20649.6924916571. The cubic root of 426409800 is about 752.6777172848.

The spelling of 426409800 in words is "four hundred twenty-six million, four hundred nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 710683 1421366 2132049 2842732 3553415 4264098 5685464 7106830 8528196 10660245 14213660 17056392 17767075 21320490 28427320 35534150 42640980 53301225 71068300 85281960 106602450 142136600 213204900 426409800