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475713168 = 24372257787
BaseRepresentation
bin11100010110101…
…100111010010000
31020011010201210020
4130112230322100
51433240310133
6115112103440
714534331600
oct3426547220
91204121706
10475713168
11224589387
12113394b80
13777306a8
1447272c00
152bb6c0b3
hex1c5ace90

475713168 has 120 divisors (see below), whose sum is σ = 1436952672. Its totient is φ = 135217152.

The previous prime is 475713149. The next prime is 475713211. The reversal of 475713168 is 861317574.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604071 + ... + 604857.

Almost surely, 2475713168 is an apocalyptic number.

475713168 is a gapful number since it is divisible by the number (48) 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 475713168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718476336).

475713168 is an abundant number, since it is smaller than the sum of its proper divisors (961239504).

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

475713168 is a wasteful number, since it uses less digits than its factorization.

475713168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1056 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 475713168 is about 21810.8497771178. The cubic root of 475713168 is about 780.6356685343.

The spelling of 475713168 in words is "four hundred seventy-five million, seven hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 257 294 336 392 514 588 771 784 787 1028 1176 1542 1574 1799 2056 2352 2361 3084 3148 3598 4112 4722 5397 5509 6168 6296 7196 9444 10794 11018 12336 12592 12593 14392 16527 18888 21588 22036 25186 28784 33054 37776 37779 38563 43176 44072 50372 66108 75558 77126 86352 88144 100744 115689 132216 151116 154252 201488 202259 231378 264432 302232 308504 404518 462756 604464 606777 617008 809036 925512 1213554 1415813 1618072 1851024 2427108 2831626 3236144 4247439 4854216 5663252 8494878 9708432 9910691 11326504 16989756 19821382 22653008 29732073 33979512 39642764 59464146 67959024 79285528 118928292 158571056 237856584 475713168