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5679882 = 235132931
BaseRepresentation
bin10101101010101100001010
3101200120100000
4111222230022
52423224012
6321423430
766164265
oct25525412
911616300
105679882
11322a41a
121a9ab76
13123b3a0
14a7bcdc
15772ddc
hex56ab0a

5679882 has 96 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 1632960.

The previous prime is 5679847. The next prime is 5679899. The reversal of 5679882 is 2889765.

5679882 is a `hidden beast` number, since 567 + 9 + 8 + 82 = 666.

It is a super-2 number, since 2×56798822 = 64522119067848, which contains 22 as substring.

It is an Ulam number.

Its product of digits (241920) is a multiple of the sum of its prime factors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183207 + ... + 183237.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 25679882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5679882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

5679882 is an abundant number, since it is smaller than the sum of its proper divisors (8996598).

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

5679882 is a wasteful number, since it uses less digits than its factorization.

5679882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5679882 is about 2383.2503015840. The cubic root of 5679882 is about 178.4211925262.

It can be divided in two parts, 5679 and 882, that added together give a 8-th power (6561 = 38).

The spelling of 5679882 in words is "five million, six hundred seventy-nine thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 31 39 54 58 62 78 81 87 93 117 162 174 186 234 243 261 279 351 377 403 486 522 558 702 754 783 806 837 899 1053 1131 1209 1566 1674 1798 2106 2262 2349 2418 2511 2697 3159 3393 3627 4698 5022 5394 6318 6786 7047 7254 7533 8091 10179 10881 11687 14094 15066 16182 20358 21762 23374 24273 30537 32643 35061 48546 61074 65286 70122 72819 91611 97929 105183 145638 183222 195858 210366 218457 315549 436914 631098 946647 1893294 2839941 5679882