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6442116 = 22317231373
BaseRepresentation
bin11000100100110010000100
3110010021220220
4120210302010
53122121431
6350024340
7105520452
oct30446204
913107826
106442116
11370006a
1221a80b0
131447305
14bd99d2
15873b96
hex624c84

6442116 has 48 divisors (see below), whose sum is σ = 16619904. Its totient is φ = 1931776.

The previous prime is 6442109. The next prime is 6442123. The reversal of 6442116 is 6112446.

It is an interprime number because it is at equal distance from previous prime (6442109) and next prime (6442123).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4006 + ... + 5378.

It is an arithmetic number, because the mean of its divisors is an integer number (346248).

Almost surely, 26442116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6442116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8309952).

6442116 is an abundant number, since it is smaller than the sum of its proper divisors (10177788).

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

6442116 is a wasteful number, since it uses less digits than its factorization.

6442116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1418 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 6442116 is about 2538.1323842542. The cubic root of 6442116 is about 186.0699239931.

The spelling of 6442116 in words is "six million, four hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1373 1564 2346 2746 4119 4692 5492 8238 16476 23341 31579 46682 63158 70023 93364 94737 126316 140046 189474 280092 378948 536843 1073686 1610529 2147372 3221058 6442116