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479389344 = 25372223457
BaseRepresentation
bin11100100100101…
…110011010100000
31020102001111112220
4130210232122200
51440210424334
6115322551040
714610512400
oct3444563240
91212044486
10479389344
1122666a345
12114668480
1378419a45
144794c800
152c146449
hex1c92e6a0

479389344 has 144 divisors (see below), whose sum is σ = 1473631488. Its totient is φ = 136055808.

The previous prime is 479389319. The next prime is 479389367. The reversal of 479389344 is 443983974.

It is an unprimeable number.

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, 1048764 + ... + 1049220.

It is an arithmetic number, because the mean of its divisors is an integer number (10233552).

Almost surely, 2479389344 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 479389344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736815744).

479389344 is an abundant number, since it is smaller than the sum of its proper divisors (994242144).

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

479389344 is a wasteful number, since it uses less digits than its factorization.

479389344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 692 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 479389344 is about 21894.9616122066. The cubic root of 479389344 is about 782.6413543558.

The spelling of 479389344 in words is "four hundred seventy-nine million, three hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 223 224 294 336 392 446 457 588 669 672 784 892 914 1176 1338 1371 1561 1568 1784 1828 2352 2676 2742 3122 3199 3568 3656 4683 4704 5352 5484 6244 6398 7136 7312 9366 9597 10704 10927 10968 12488 12796 14624 18732 19194 21408 21854 21936 22393 24976 25592 32781 37464 38388 43708 43872 44786 49952 51184 65562 67179 74928 76776 87416 89572 101911 102368 131124 134358 149856 153552 174832 179144 203822 262248 268716 305733 307104 349664 358288 407644 524496 537432 611466 713377 716576 815288 1048992 1074864 1222932 1426754 1630576 2140131 2149728 2445864 2853508 3261152 4280262 4891728 4993639 5707016 8560524 9783456 9987278 11414032 14980917 17121048 19974556 22828064 29961834 34242096 39949112 59923668 68484192 79898224 119847336 159796448 239694672 479389344