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417042625 = 533336341
BaseRepresentation
bin11000110110111…
…001000011000001
31002001201221221011
4120312321003001
51323230331000
6105214400521
713222542466
oct3066710301
91061657834
10417042625
111a445632a
12b7800141
136852a8ac
143d55d66d
152692d2ba
hex18db90c1

417042625 has 8 divisors (see below), whose sum is σ = 520469352. Its totient is φ = 333634000.

The previous prime is 417042617. The next prime is 417042629. The reversal of 417042625 is 526240714.

It can be written as a sum of positive squares in 4 ways, for example, as 27217089 + 389825536 = 5217^2 + 19744^2 .

It is not a de Polignac number, because 417042625 - 23 = 417042617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417042629) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1668046 + ... + 1668295.

It is an arithmetic number, because the mean of its divisors is an integer number (65058669).

Almost surely, 2417042625 is an apocalyptic number.

It is an amenable number.

417042625 is a deficient number, since it is larger than the sum of its proper divisors (103426727).

417042625 is an equidigital number, since it uses as much as digits as its factorization.

417042625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336356 (or 3336346 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 417042625 is about 20421.6215076081. The cubic root of 417042625 is about 747.1253664229.

The spelling of 417042625 in words is "four hundred seventeen million, forty-two thousand, six hundred twenty-five".

Divisors: 1 5 25 125 3336341 16681705 83408525 417042625