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475613712 = 243274310973
BaseRepresentation
bin11100010110010…
…100101000010000
31020010221200100200
4130112110220100
51433224114322
6115110015200
714533435620
oct3426245020
91203850320
10475613712
11224520692
12113347500
13776c7342
1447248880
152bb4c8ac
hex1c594a10

475613712 has 120 divisors (see below), whose sum is σ = 1556727744. Its totient is φ = 132717312.

The previous prime is 475613707. The next prime is 475613729. The reversal of 475613712 is 217316574.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37858 + ... + 48830.

Almost surely, 2475613712 is an apocalyptic number.

475613712 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 475613712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778363872).

475613712 is an abundant number, since it is smaller than the sum of its proper divisors (1081114032).

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

475613712 is a wasteful number, since it uses less digits than its factorization.

475613712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11037 (or 11028 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 475613712 is about 21808.5696917519. The cubic root of 475613712 is about 780.5812629825.

The spelling of 475613712 in words is "four hundred seventy-five million, six hundred thirteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2709 3096 3612 4816 5418 6192 7224 10836 10973 14448 21672 21946 32919 43344 43892 65838 76811 87784 98757 131676 153622 175568 197514 230433 263352 307244 395028 460866 471839 526704 614488 691299 790056 921732 943678 1228976 1382598 1415517 1580112 1843464 1887356 2765196 2831034 3302873 3686928 3774712 4246551 5530392 5662068 6605746 7549424 8493102 9908619 11060784 11324136 13211492 16986204 19817238 22648272 26422984 29725857 33972408 39634476 52845968 59451714 67944816 79268952 118903428 158537904 237806856 475613712