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426015436 = 227111499283
BaseRepresentation
bin11001011001000…
…111101011001100
31002200121211022111
4121121013223030
51333024443221
6110134553404
713362033340
oct3131075314
91080554274
10426015436
111a9524780
12ba808864
136a34ca52
1440817620
1527601be1
hex19647acc

426015436 has 48 divisors (see below), whose sum is σ = 935827200. Its totient is φ = 164848320.

The previous prime is 426015433. The next prime is 426015451. The reversal of 426015436 is 634510624.

It is a junction number, because it is equal to n+sod(n) for n = 426015398 and 426015407.

It is not an unprimeable number, because it can be changed into a prime (426015433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41251 + ... + 50533.

It is an arithmetic number, because the mean of its divisors is an integer number (19496400).

Almost surely, 2426015436 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 426015436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467913600).

426015436 is an abundant number, since it is smaller than the sum of its proper divisors (509811764).

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

426015436 is a wasteful number, since it uses less digits than its factorization.

426015436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9454 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 426015436 is about 20640.1413754848. The cubic root of 426015436 is about 752.4456083687.

The spelling of 426015436 in words is "four hundred twenty-six million, fifteen thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 149 154 298 308 596 1043 1639 2086 3278 4172 6556 9283 11473 18566 22946 37132 45892 64981 102113 129962 204226 259924 408452 714791 1383167 1429582 2766334 2859164 5532668 9682169 15214837 19364338 30429674 38728676 60859348 106503859 213007718 426015436