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475384668 = 2231117415167
BaseRepresentation
bin11100010101011…
…100101101011100
31020010112001011120
4130111130231130
51433144302133
6115101050540
714531463063
oct3425345534
91203461146
10475384668
112243845a0
12113256a50
1377647005
14471c91da
152bb04ab3
hex1c55cb5c

475384668 has 96 divisors (see below), whose sum is σ = 1312754688. Its totient is φ = 132249600.

The previous prime is 475384667. The next prime is 475384691. The reversal of 475384668 is 866483574.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 475384668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475384667) 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, 89421 + ... + 94587.

It is an arithmetic number, because the mean of its divisors is an integer number (13674528).

Almost surely, 2475384668 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 475384668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656377344).

475384668 is an abundant number, since it is smaller than the sum of its proper divisors (837370020).

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

475384668 is a wasteful number, since it uses less digits than its factorization.

475384668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243 (or 5241 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 475384668 is about 21803.3178209189. The cubic root of 475384668 is about 780.4559398769.

The spelling of 475384668 in words is "four hundred seventy-five million, three hundred eighty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 41 44 51 66 68 82 102 123 132 164 187 204 246 374 451 492 561 697 748 902 1122 1353 1394 1804 2091 2244 2706 2788 4182 5167 5412 7667 8364 10334 15334 15501 20668 23001 30668 31002 46002 56837 62004 87839 92004 113674 170511 175678 211847 227348 263517 341022 351356 423694 527034 635541 682044 847388 966229 1054068 1271082 1932458 2330317 2542164 2898687 3601399 3864916 4660634 5797374 6990951 7202798 9321268 10804197 11594748 13981902 14405596 21608394 27963804 39615389 43216788 79230778 118846167 158461556 237692334 475384668