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5679168 = 263112689
BaseRepresentation
bin10101101010100001000000
3101200112100120
4111222201000
52423213133
6321420240
766162225
oct25524100
911615316
105679168
113229930
121a9a680
13123ac71
14a7b94c
15772ab3
hex56a840

5679168 has 56 divisors (see below), whose sum is σ = 16398240. Its totient is φ = 1720320.

The previous prime is 5679143. The next prime is 5679199. The reversal of 5679168 is 8619765.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 768 + ... + 3456.

Almost surely, 25679168 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 5679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199120).

5679168 is an abundant number, since it is smaller than the sum of its proper divisors (10719072).

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

5679168 is a wasteful number, since it uses less digits than its factorization.

5679168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2705 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 5679168 is about 2383.1005014476. The cubic root of 5679168 is about 178.4137159583.

The spelling of 5679168 in words is "five million, six hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2689 5378 8067 10756 16134 21512 29579 32268 43024 59158 64536 86048 88737 118316 129072 172096 177474 236632 258144 354948 473264 516288 709896 946528 1419792 1893056 2839584 5679168