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479206494 = 232133122131
BaseRepresentation
bin11100100100000…
…001110001011110
31020101201012201200
4130210001301132
51440134101434
6115315020330
714606121324
oct3444016136
91211635650
10479206494
11226554a28
1211459a6a6
1378384750
1447901d14
152c10c199
hex1c901c5e

479206494 has 72 divisors (see below), whose sum is σ = 1155923496. Its totient is φ = 142624800.

The previous prime is 479206493. The next prime is 479206513. The reversal of 479206494 is 494602974.

It is a super-3 number, since 3×4792064943 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479206493) 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 35 ways as a sum of consecutive naturals, for example, 223809 + ... + 225939.

It is an arithmetic number, because the mean of its divisors is an integer number (16054493).

Almost surely, 2479206494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479206494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577961748).

479206494 is an abundant number, since it is smaller than the sum of its proper divisors (676717002).

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

479206494 is a wasteful number, since it uses less digits than its factorization.

479206494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 479206494 is about 21890.7855957707. The cubic root of 479206494 is about 782.5418359637.

The spelling of 479206494 in words is "four hundred seventy-nine million, two hundred six thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 961 1209 1922 2131 2418 2883 3627 4262 5766 6393 7254 8649 12493 12786 17298 19179 24986 27703 37479 38358 55406 66061 74958 83109 112437 132122 166218 198183 224874 249327 396366 498654 594549 858793 1189098 1717586 2047891 2576379 4095782 5152758 6143673 7729137 12287346 15458274 18431019 26622583 36862038 53245166 79867749 159735498 239603247 479206494