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475057660 = 2257112511229
BaseRepresentation
bin11100010100001…
…100110111111100
31020002220102121011
4130110030313330
51433103321120
6115050045004
714525631520
oct3424146774
91202812534
10475057660
11224180940
12113119764
137756120c
1447141d80
152ba8cc5a
hex1c50cdfc

475057660 has 96 divisors (see below), whose sum is σ = 1249758720. Its totient is φ = 147360000.

The previous prime is 475057619. The next prime is 475057669. The reversal of 475057660 is 66750574.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475057669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385926 + ... + 387154.

It is an arithmetic number, because the mean of its divisors is an integer number (13018320).

Almost surely, 2475057660 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 475057660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624879360).

475057660 is an abundant number, since it is smaller than the sum of its proper divisors (774701060).

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

475057660 is a wasteful number, since it uses less digits than its factorization.

475057660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 475057660 is about 21795.8174886835. The cubic root of 475057660 is about 780.2769452684.

The spelling of 475057660 in words is "four hundred seventy-five million, fifty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 251 308 385 502 770 1004 1229 1255 1540 1757 2458 2510 2761 3514 4916 5020 5522 6145 7028 8603 8785 11044 12290 13519 13805 17206 17570 19327 24580 27038 27610 34412 35140 38654 43015 54076 55220 67595 77308 86030 94633 96635 135190 172060 189266 193270 270380 308479 378532 386540 473165 616958 946330 1233916 1542395 1892660 2159353 3084790 3393269 4318706 6169580 6786538 8637412 10796765 13573076 16966345 21593530 23752883 33932690 43187060 47505766 67865380 95011532 118764415 237528830 475057660