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5882772 = 2237591187
BaseRepresentation
bin10110011100001110010100
3102001212122110
4112130032110
53001222042
6330031020
7101000640
oct26341624
912055573
105882772
1133588a5
121b78470
1312ac83c
14ad1c20
157b309c
hex59c394

5882772 has 48 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1650912.

The previous prime is 5882771. The next prime is 5882783. The reversal of 5882772 is 2772885.

5882772 is a modest number, since divided by 2772 gives 588 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 5882772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5882771) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4363 + ... + 5549.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 25882772 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 5882772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

5882772 is an abundant number, since it is smaller than the sum of its proper divisors (10083948).

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

5882772 is a wasteful number, since it uses less digits than its factorization.

5882772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1258 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 5882772 is about 2425.4426400144. The cubic root of 5882772 is about 180.5208371624.

The spelling of 5882772 in words is "five million, eight hundred eighty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1187 1239 1652 2374 2478 3561 4748 4956 7122 8309 14244 16618 24927 33236 49854 70033 99708 140066 210099 280132 420198 490231 840396 980462 1470693 1960924 2941386 5882772