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478657125 = 3253425473
BaseRepresentation
bin11100100001111…
…011101001100101
31020100200022010200
4130201323221211
51440014012000
6115255141113
714601342552
oct3441735145
91210608120
10478657125
1122620a201
12114374799
137822168b
14477dba29
152c04e500
hex1c87ba65

478657125 has 24 divisors (see below), whose sum is σ = 862861272. Its totient is φ = 255283200.

The previous prime is 478657121. The next prime is 478657133. The reversal of 478657125 is 521756874.

478657125 is a `hidden beast` number, since 4 + 78 + 6 + 571 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89699841 + 388957284 = 9471^2 + 19722^2 .

It is not a de Polignac number, because 478657125 - 22 = 478657121 is a prime.

It is a super-2 number, since 2×4786571252 = 458225286626531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478657121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211612 + ... + 213861.

It is an arithmetic number, because the mean of its divisors is an integer number (35952553).

Almost surely, 2478657125 is an apocalyptic number.

478657125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

478657125 is a deficient number, since it is larger than the sum of its proper divisors (384204147).

478657125 is a wasteful number, since it uses less digits than its factorization.

478657125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425494 (or 425481 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 478657125 is about 21878.2340466501. The cubic root of 478657125 is about 782.2426826629.

The spelling of 478657125 in words is "four hundred seventy-eight million, six hundred fifty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 425473 1276419 2127365 3829257 6382095 10636825 19146285 31910475 53184125 95731425 159552375 478657125