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426293406 = 232711227961
BaseRepresentation
bin11001011010001…
…011100010011110
31002201010221121200
4121122023202132
51333112342111
6110144540330
713364301630
oct3132134236
91081127550
10426293406
111a96a4600
12ba9216a6
136a419426
144088aa50
1527659256
hex1968b89e

426293406 has 72 divisors (see below), whose sum is σ = 1160311152. Its totient is φ = 110721600.

The previous prime is 426293381. The next prime is 426293423. The reversal of 426293406 is 604392624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1266 + ... + 29226.

Almost surely, 2426293406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426293406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580155576).

426293406 is an abundant number, since it is smaller than the sum of its proper divisors (734017746).

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

426293406 is a wasteful number, since it uses less digits than its factorization.

426293406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27998 (or 27984 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 426293406 is about 20646.8740006811. The cubic root of 426293406 is about 752.6092267212.

The spelling of 426293406 in words is "four hundred twenty-six million, two hundred ninety-three thousand, four hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 15246 27961 55922 83883 167766 195727 251649 307571 391454 503298 587181 615142 922713 1174362 1761543 1845426 2152997 2768139 3383281 3523086 4305994 5536278 6458991 6766562 10149843 12917982 19376973 20299686 23682967 30449529 38753946 47365934 60899058 71048901 142097802 213146703 426293406