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426197412 = 2232171096389
BaseRepresentation
bin11001011001110…
…100000110100100
31002200222001221100
4121121310012210
51333101304122
6110142520100
713363422024
oct3131640644
91080861840
10426197412
111a9639473
12ba896030
136a3b4824
1440863a84
152763aaac
hex196741a4

426197412 has 72 divisors (see below), whose sum is σ = 1151350200. Its totient is φ = 132461568.

The previous prime is 426197411. The next prime is 426197441. The reversal of 426197412 is 214791624.

It is a happy number.

426197412 is a `hidden beast` number, since 426 + 197 + 41 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31539456 + 394657956 = 5616^2 + 19866^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (426197411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63514 + ... + 69902.

It is an arithmetic number, because the mean of its divisors is an integer number (15990975).

Almost surely, 2426197412 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 426197412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575675100).

426197412 is an abundant number, since it is smaller than the sum of its proper divisors (725152788).

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

426197412 is a wasteful number, since it uses less digits than its factorization.

426197412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6525 (or 6520 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 426197412 is about 20644.5492079629. The cubic root of 426197412 is about 752.5527308957.

The spelling of 426197412 in words is "four hundred twenty-six million, one hundred ninety-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 109 153 204 218 306 327 436 612 654 981 1308 1853 1962 3706 3924 5559 6389 7412 11118 12778 16677 19167 22236 25556 33354 38334 57501 66708 76668 108613 115002 217226 230004 325839 434452 651678 696401 977517 1303356 1392802 1955034 2089203 2785604 3910068 4178406 6267609 8356812 11838817 12535218 23677634 25070436 35516451 47355268 71032902 106549353 142065804 213098706 426197412