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478290475 = 521329311637
BaseRepresentation
bin11100100000100…
…010001000101011
31020022222200012001
4130200202020223
51434420243400
6115243231431
714565254605
oct3440421053
91208880161
10478290475
11225a89793
12114218577
1378123820
1447744175
152becaa6a
hex1c82222b

478290475 has 48 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 329817600.

The previous prime is 478290473. The next prime is 478290479. The reversal of 478290475 is 574092874.

It is not a de Polignac number, because 478290475 - 21 = 478290473 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (478290473) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 291357 + ... + 292993.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2478290475 is an apocalyptic number.

478290475 is a deficient number, since it is larger than the sum of its proper divisors (204165845).

478290475 is a wasteful number, since it uses less digits than its factorization.

478290475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 478290475 is about 21869.8531087888. The cubic root of 478290475 is about 782.0428997512.

The spelling of 478290475 in words is "four hundred seventy-eight million, two hundred ninety thousand, four hundred seventy-five".

Divisors: 1 5 13 25 29 31 65 145 155 325 377 403 725 775 899 1637 1885 2015 4495 8185 9425 10075 11687 21281 22475 40925 47473 50747 58435 106405 237365 253735 292175 532025 617149 659711 1186825 1268675 1471663 3085745 3298555 7358315 15428725 16492775 19131619 36791575 95658095 478290475