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417290797 = 7115719491
BaseRepresentation
bin11000110111110…
…101101000101101
31002002012120100201
4120313311220231
51323311301142
6105223553501
713224625150
oct3067655055
91062176321
10417290797
111a4605830
12b78bb891
13685b6841
143d5c5c97
152697bab7
hex18df5a2d

417290797 has 16 divisors (see below), whose sum is σ = 521224704. Its totient is φ = 324558000.

The previous prime is 417290779. The next prime is 417290827. The reversal of 417290797 is 797092714.

It is a cyclic number.

It is not a de Polignac number, because 417290797 - 223 = 408902189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417290737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39222 + ... + 48712.

It is an arithmetic number, because the mean of its divisors is an integer number (32576544).

Almost surely, 2417290797 is an apocalyptic number.

It is an amenable number.

417290797 is a deficient number, since it is larger than the sum of its proper divisors (103933907).

417290797 is a wasteful number, since it uses less digits than its factorization.

417290797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080.

The product of its (nonzero) digits is 222264, while the sum is 46.

The square root of 417290797 is about 20427.6968109476. The cubic root of 417290797 is about 747.2735357935.

The spelling of 417290797 in words is "four hundred seventeen million, two hundred ninety thousand, seven hundred ninety-seven".

Divisors: 1 7 11 77 571 3997 6281 9491 43967 66437 104401 730807 5419361 37935527 59612971 417290797