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470528464 = 24719415393
BaseRepresentation
bin11100000010111…
…011000111010000
31012210101022201011
4130002323013100
51430423402324
6114405020304
714442266050
oct3402730720
91183338634
10470528464
11221667aaa
121116b4694
1376636813
14466c3560
152b495c94
hex1c0bb1d0

470528464 has 80 divisors (see below), whose sum is σ = 1123678080. Its totient is φ = 186347520.

The previous prime is 470528389. The next prime is 470528477. The reversal of 470528464 is 464825074.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 84552 + ... + 89944.

It is an arithmetic number, because the mean of its divisors is an integer number (14045976).

Almost surely, 2470528464 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 470528464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561839040).

470528464 is an abundant number, since it is smaller than the sum of its proper divisors (653149616).

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

470528464 is a wasteful number, since it uses less digits than its factorization.

470528464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 470528464 is about 21691.6680778588. The cubic root of 470528464 is about 777.7893046334.

The spelling of 470528464 in words is "four hundred seventy million, five hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 41 56 76 82 112 133 152 164 266 287 304 328 532 574 656 779 1064 1148 1558 2128 2296 3116 4592 5393 5453 6232 10786 10906 12464 21572 21812 37751 43144 43624 75502 86288 87248 102467 151004 204934 221113 302008 409868 442226 604016 717269 819736 884452 1434538 1547791 1639472 1768904 2869076 3095582 3537808 4201147 5738152 6191164 8402294 11476304 12382328 16804588 24764656 29408029 33609176 58816058 67218352 117632116 235264232 470528464