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426188225 = 5240941681
BaseRepresentation
bin11001011001110…
…001110111000001
31002200221121100002
4121121301313001
51333101010400
6110142405345
713363353161
oct3131616701
91080847302
10426188225
111a9632581
12ba890855
136a3b05a8
14408605a1
1527637ed5
hex19671dc1

426188225 has 12 divisors (see below), whose sum is σ = 529778220. Its totient is φ = 340108800.

The previous prime is 426188219. The next prime is 426188233. The reversal of 426188225 is 522881624.

It can be written as a sum of positive squares in 6 ways, for example, as 35414401 + 390773824 = 5951^2 + 19768^2 .

It is not a de Polignac number, because 426188225 - 214 = 426171841 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10616 + ... + 31065.

It is an arithmetic number, because the mean of its divisors is an integer number (44148185).

Almost surely, 2426188225 is an apocalyptic number.

It is an amenable number.

426188225 is a deficient number, since it is larger than the sum of its proper divisors (103589995).

426188225 is a wasteful number, since it uses less digits than its factorization.

426188225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42100 (or 42095 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 426188225 is about 20644.3267025108. The cubic root of 426188225 is about 752.5473235802.

The spelling of 426188225 in words is "four hundred twenty-six million, one hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 409 2045 10225 41681 208405 1042025 17047529 85237645 426188225