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470055852 = 22337312647
BaseRepresentation
bin11100000001000…
…111101110101100
31012202111022102000
4130001013232230
51430313241402
6114350532300
714435260140
oct3401075654
91182438360
10470055852
11221374a12
12111507090
13764cc676
14465dd220
152b400c1c
hex1c047bac

470055852 has 144 divisors (see below), whose sum is σ = 1441359360. Its totient is φ = 129768480.

The previous prime is 470055841. The next prime is 470055869. The reversal of 470055852 is 258550074.

It is a happy number.

470055852 is a `hidden beast` number, since 4 + 70 + 0 + 5 + 585 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726193 + ... + 726839.

It is an arithmetic number, because the mean of its divisors is an integer number (10009440).

Almost surely, 2470055852 is an apocalyptic number.

470055852 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470055852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720679680).

470055852 is an abundant number, since it is smaller than the sum of its proper divisors (971303508).

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

470055852 is a wasteful number, since it uses less digits than its factorization.

470055852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 470055852 is about 21680.7714807384. The cubic root of 470055852 is about 777.5288062583.

The spelling of 470055852 in words is "four hundred seventy million, fifty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 647 651 756 837 868 961 1116 1294 1302 1674 1922 1941 1953 2588 2604 2883 3348 3844 3882 3906 4529 5766 5823 5859 6727 7764 7812 8649 9058 11532 11646 11718 13454 13587 17298 17469 18116 20057 20181 23292 23436 25947 26908 27174 34596 34938 40114 40362 40761 51894 54348 60171 60543 69876 80228 80724 81522 103788 120342 121086 122283 140399 163044 180513 181629 240684 242172 244566 280798 361026 363258 421197 489132 541539 561596 621767 722052 726516 842394 1083078 1243534 1263591 1684788 1865301 2166156 2487068 2527182 3730602 3790773 4352369 5054364 5595903 7461204 7581546 8704738 11191806 13057107 15163092 16787709 17409476 22383612 26114214 33575418 39171321 52228428 67150836 78342642 117513963 156685284 235027926 470055852