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426200625 = 3254174457
BaseRepresentation
bin11001011001110…
…100111000110001
31002200222020100100
4121121310320301
51333101410000
6110142543013
713363434264
oct3131647061
91080866310
10426200625
111a9640924
12ba897a69
136a3b6126
1440864cdb
152763ba00
hex19674e31

426200625 has 60 divisors (see below), whose sum is σ = 814717332. Its totient is φ = 213888000.

The previous prime is 426200587. The next prime is 426200629. The reversal of 426200625 is 526002624.

It can be written as a sum of positive squares in 10 ways, for example, as 226713249 + 199487376 = 15057^2 + 14124^2 .

It is not a de Polignac number, because 426200625 - 225 = 392646193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (426200629) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 93397 + ... + 97853.

Almost surely, 2426200625 is an apocalyptic number.

426200625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426200625 is a deficient number, since it is larger than the sum of its proper divisors (388516707).

426200625 is a wasteful number, since it uses less digits than its factorization.

426200625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 426200625 is about 20644.6270249671. The cubic root of 426200625 is about 752.5546219958.

The spelling of 426200625 in words is "four hundred twenty-six million, two hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 625 765 1125 1275 1875 2125 3825 4457 5625 6375 10625 13371 19125 22285 31875 40113 66855 75769 95625 111425 200565 227307 334275 378845 557125 681921 1002825 1136535 1671375 1894225 2785625 3409605 5014125 5682675 8356875 9471125 17048025 25070625 28413375 47355625 85240125 142066875 426200625