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479529072 = 24341133637
BaseRepresentation
bin11100100101010…
…000100001110000
31020102022121020000
4130211100201300
51440224412242
6115325550000
714611633641
oct3445204160
91212277200
10479529072
11226755320
12114715300
1378468519
14479876c8
152c172a4c
hex1c950870

479529072 has 100 divisors (see below), whose sum is σ = 1514113656. Its totient is φ = 145307520.

The previous prime is 479529059. The next prime is 479529133. The reversal of 479529072 is 270925974.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2563 + ... + 31074.

Almost surely, 2479529072 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 479529072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757056828).

479529072 is an abundant number, since it is smaller than the sum of its proper divisors (1034584584).

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

479529072 is a wasteful number, since it uses less digits than its factorization.

479529072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33668 (or 33653 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 479529072 is about 21898.1522508179. The cubic root of 479529072 is about 782.7173860056.

The spelling of 479529072 in words is "four hundred seventy-nine million, five hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 33637 67274 100911 134548 201822 269096 302733 370007 403644 538192 605466 740014 807288 908199 1110021 1210932 1480028 1614576 1816398 2220042 2421864 2724597 2960056 3330063 3632796 4440084 4843728 5449194 5920112 6660126 7265592 8880168 9990189 10898388 13320252 14531184 17760336 19980378 21796776 26640504 29970567 39960756 43593552 53281008 59941134 79921512 119882268 159843024 239764536 479529072