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2079289432 = 231161509761
BaseRepresentation
bin111101111101111…
…0111000001011000
312100220112211212201
41323323313001120
513224244230212
6542154215544
7102345445213
oct17373670130
95326484781
102079289432
11977782a20
124a04245b4
13271a1919c
1415a21877a
15c2825b57
hex7bef7058

2079289432 has 64 divisors (see below), whose sum is σ = 4336999200. Its totient is φ = 926592000.

The previous prime is 2079289427. The next prime is 2079289439. The reversal of 2079289432 is 2349829702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079289439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2731932 + ... + 2732692.

Almost surely, 22079289432 is an apocalyptic number.

2079289432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079289432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168499600).

2079289432 is an abundant number, since it is smaller than the sum of its proper divisors (2257709768).

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

2079289432 is a wasteful number, since it uses less digits than its factorization.

2079289432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 2079289432 is about 45599.2262215051. The cubic root of 2079289432 is about 1276.3554841358.

It can be divided in two parts, 20792 and 89432, that added together give a square (110224 = 3322).

The spelling of 2079289432 in words is "two billion, seventy-nine million, two hundred eighty-nine thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 509 671 761 1018 1342 1522 2036 2684 3044 4072 5368 5599 6088 8371 11198 16742 22396 31049 33484 44792 46421 62098 66968 92842 124196 185684 248392 341539 371368 387349 510631 683078 774698 1021262 1366156 1549396 2042524 2732312 3098792 4085048 4260839 8521678 17043356 23628289 34086712 47256578 94513156 189026312 259911179 519822358 1039644716 2079289432