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426381700 = 225218123557
BaseRepresentation
bin11001011010100…
…001000110000100
31002201022102201211
4121122201012010
51333123203300
6110150501204
713365120223
oct3132410604
91081272654
10426381700
111a9754978
12ba964804
136a44a684
14408b0cba
15276754ba
hex196a1184

426381700 has 36 divisors (see below), whose sum is σ = 930399652. Its totient is φ = 169603200.

The previous prime is 426381677. The next prime is 426381713. The reversal of 426381700 is 7183624.

It can be written as a sum of positive squares in 6 ways, for example, as 241367296 + 185014404 = 15536^2 + 13602^2 .

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 11 ways as a sum of consecutive naturals, for example, 6322 + ... + 29878.

Almost surely, 2426381700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426381700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465199826).

426381700 is an abundant number, since it is smaller than the sum of its proper divisors (504017952).

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

426381700 is a wasteful number, since it uses less digits than its factorization.

426381700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23752 (or 23745 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 426381700 is about 20649.0120829060. The cubic root of 426381700 is about 752.6611833399.

The spelling of 426381700 in words is "four hundred twenty-six million, three hundred eighty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 23557 47114 94228 117785 235570 471140 588925 1177850 2355700 4263817 8527634 17055268 21319085 42638170 85276340 106595425 213190850 426381700