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420550325 = 52133741853
BaseRepresentation
bin11001000100010…
…001011010110101
31002022100011120222
4121010101122311
51330130102300
6105421504125
713264422146
oct3104213265
91068304528
10420550325
111a6431758
12b8a12045
1369188360
143dbd3acd
1526dc2785
hex191116b5

420550325 has 48 divisors (see below), whose sum is σ = 591535056. Its totient is φ = 294451200.

The previous prime is 420550279. The next prime is 420550343. The reversal of 420550325 is 523055024.

It can be written as a sum of positive squares in 24 ways, for example, as 414285316 + 6265009 = 20354^2 + 2503^2 .

It is not a de Polignac number, because 420550325 - 26 = 420550261 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420550294 and 420550303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492599 + ... + 493451.

It is an arithmetic number, because the mean of its divisors is an integer number (12323647).

Almost surely, 2420550325 is an apocalyptic number.

It is an amenable number.

420550325 is a deficient number, since it is larger than the sum of its proper divisors (170984731).

420550325 is a wasteful number, since it uses less digits than its factorization.

420550325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 420550325 is about 20507.3236917936. The cubic root of 420550325 is about 749.2141843533.

The spelling of 420550325 in words is "four hundred twenty million, five hundred fifty thousand, three hundred twenty-five".

Divisors: 1 5 13 25 37 41 65 185 205 325 481 533 853 925 1025 1517 2405 2665 4265 7585 11089 12025 13325 19721 21325 31561 34973 37925 55445 98605 157805 174865 277225 410293 454649 493025 789025 874325 1294001 2051465 2273245 6470005 10257325 11366225 16822013 32350025 84110065 420550325