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426209625 = 3253457829
BaseRepresentation
bin11001011001110…
…111000101011001
31002200222200200200
4121121313011121
51333102202000
6110143052413
713363502442
oct3131670531
91080880620
10426209625
111a9647666
12ba8a1109
136a3ba25a
14408682c9
152763e500
hex19677159

426209625 has 48 divisors (see below), whose sum is σ = 770923920. Its totient is φ = 226540800.

The previous prime is 426209621. The next prime is 426209633. The reversal of 426209625 is 526902624.

426209625 is a `hidden beast` number, since 4 + 2 + 6 + 20 + 9 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 53758224 + 372451401 = 7332^2 + 19299^2 .

It is not a de Polignac number, because 426209625 - 22 = 426209621 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 426209625.

It is not an unprimeable number, because it can be changed into a prime (426209621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513711 + ... + 514539.

It is an arithmetic number, because the mean of its divisors is an integer number (16060915).

Almost surely, 2426209625 is an apocalyptic number.

426209625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426209625 is a deficient number, since it is larger than the sum of its proper divisors (344714295).

426209625 is a wasteful number, since it uses less digits than its factorization.

426209625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 426209625 is about 20644.8449982072. The cubic root of 426209625 is about 752.5599191442.

The spelling of 426209625 in words is "four hundred twenty-six million, two hundred nine thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 457 829 1125 1371 2285 2487 4113 4145 6855 7461 11425 12435 20565 20725 34275 37305 57125 62175 102825 103625 171375 186525 310875 378853 514125 932625 1136559 1894265 3409677 5682795 9471325 17048385 28413975 47356625 85241925 142069875 426209625