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5679104 = 2114759
BaseRepresentation
bin10101101010100000000000
3101200112021012
4111222200000
52423212404
6321420052
766162104
oct25524000
911615235
105679104
113229882
121a9a628
13123ac22
14a7b904
15772a6e
hex56a800

5679104 has 48 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 2732032.

The previous prime is 5679103. The next prime is 5679127. The reversal of 5679104 is 4019765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5679101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96227 + ... + 96285.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 25679104 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 5679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

5679104 is an abundant number, since it is smaller than the sum of its proper divisors (6114496).

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

5679104 is an equidigital number, since it uses as much as digits as its factorization.

5679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 5679104 is about 2383.0870735246. The cubic root of 5679104 is about 178.4130457592.

The spelling of 5679104 in words is "five million, six hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 32 47 59 64 94 118 128 188 236 256 376 472 512 752 944 1024 1504 1888 2048 2773 3008 3776 5546 6016 7552 11092 12032 15104 22184 24064 30208 44368 48128 60416 88736 96256 120832 177472 354944 709888 1419776 2839552 5679104