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426406266 = 2321113212743
BaseRepresentation
bin11001011010100…
…111000101111010
31002201100200102200
4121122213011322
51333130000031
6110151211030
713365251646
oct3132470572
91081320380
10426406266
111a9771380
12ba976a76
136a458900
14408b9c26
152767c8e6
hex196a717a

426406266 has 72 divisors (see below), whose sum is σ = 1091447136. Its totient is φ = 119265120.

The previous prime is 426406261. The next prime is 426406283. The reversal of 426406266 is 662604624.

426406266 is a `hidden beast` number, since 4 + 2 + 640 + 6 + 2 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 426406266.

It is not an unprimeable number, because it can be changed into a prime (426406261) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27091 + ... + 39833.

It is an arithmetic number, because the mean of its divisors is an integer number (15158988).

Almost surely, 2426406266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426406266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545723568).

426406266 is an abundant number, since it is smaller than the sum of its proper divisors (665040870).

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

426406266 is a wasteful number, since it uses less digits than its factorization.

426406266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12788 (or 12772 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 426406266 is about 20649.6069211983. The cubic root of 426406266 is about 752.6756379311.

The spelling of 426406266 in words is "four hundred twenty-six million, four hundred six thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 286 338 429 507 858 1014 1287 1521 1859 2574 3042 3718 5577 11154 12743 16731 25486 33462 38229 76458 114687 140173 165659 229374 280346 331318 420519 496977 841038 993954 1261557 1490931 1822249 2153567 2523114 2981862 3644498 4307134 5466747 6460701 10933494 12921402 16400241 19382103 23689237 32800482 38764206 47378474 71067711 142135422 213203133 426406266