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426931479 = 34133171279
BaseRepresentation
bin11001011100100…
…111010100010111
31002202100100220000
4121130213110113
51333243301404
6110210342343
713402600122
oct3134472427
91082310800
10426931479
111a9a9aa37
12bab8a9b3
136a5b09a0
14409b53b9
1527733339
hex19727517

426931479 has 40 divisors (see below), whose sum is σ = 689525760. Its totient is φ = 261693504.

The previous prime is 426931459. The next prime is 426931481. The reversal of 426931479 is 974139624.

It is a happy number.

426931479 is a `hidden beast` number, since 4 + 269 + 314 + 79 = 666.

It is not a de Polignac number, because 426931479 - 25 = 426931447 is a prime.

It is a super-2 number, since 2×4269314792 = 364540975522254882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426931429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 333162 + ... + 334440.

It is an arithmetic number, because the mean of its divisors is an integer number (17238144).

Almost surely, 2426931479 is an apocalyptic number.

426931479 is a deficient number, since it is larger than the sum of its proper divisors (262594281).

426931479 is a wasteful number, since it uses less digits than its factorization.

426931479 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1612 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 426931479 is about 20662.3202714506. The cubic root of 426931479 is about 752.9845396105.

It can be divided in two parts, 42693147 and 9, that added together give a square (42693156 = 65342).

The spelling of 426931479 in words is "four hundred twenty-six million, nine hundred thirty-one thousand, four hundred seventy-nine".

Divisors: 1 3 9 13 27 39 81 117 317 351 951 1053 1279 2853 3837 4121 8559 11511 12363 16627 25677 34533 37089 49881 103599 111267 149643 333801 405443 448929 1216329 1346787 3648987 5270759 10946961 15812277 32840883 47436831 142310493 426931479