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417468444 = 223311122227
BaseRepresentation
bin11000111000100…
…001000000011100
31002002112121001020
4120320201000130
51323332442234
6105231444140
713226265111
oct3070410034
91062477036
10417468444
111a4717248
12b7986650
1368649663
143d630908
15269b4549
hex18e2101c

417468444 has 24 divisors (see below), whose sum is σ = 1005516288. Its totient is φ = 134667120.

The previous prime is 417468421. The next prime is 417468449. The reversal of 417468444 is 444864714.

It is a happy number.

It is a super-2 number, since 2×4174684442 = 348559803471562272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 417468396 and 417468405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417468449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560742 + ... + 561485.

It is an arithmetic number, because the mean of its divisors is an integer number (41896512).

Almost surely, 2417468444 is an apocalyptic number.

It is an amenable number.

417468444 is an abundant number, since it is smaller than the sum of its proper divisors (588047844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417468444 is a wasteful number, since it uses less digits than its factorization.

417468444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122265 (or 1122263 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The square root of 417468444 is about 20432.0445379311. The cubic root of 417468444 is about 747.3795626292.

The spelling of 417468444 in words is "four hundred seventeen million, four hundred sixty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 1122227 2244454 3366681 4488908 6733362 13466724 34789037 69578074 104367111 139156148 208734222 417468444