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5882742 = 23219103167
BaseRepresentation
bin10110011100001101110110
3102001212121100
4112130031312
53001221432
6330030530
7101000565
oct26341566
912055540
105882742
113358878
121b78446
1312ac818
14ad1bdc
157b307c
hex59c376

5882742 has 48 divisors (see below), whose sum is σ = 13628160. Its totient is φ = 1828656.

The previous prime is 5882729. The next prime is 5882743. The reversal of 5882742 is 2472885.

It is a happy number.

5882742 is a `hidden beast` number, since 588 + 2 + 74 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 55 + 82 + 82 + 215 + 78 + 47 + 216 .

It is a junction number, because it is equal to n+sod(n) for n = 5882697 and 5882706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5882743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35143 + ... + 35309.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 25882742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5882742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814080).

5882742 is an abundant number, since it is smaller than the sum of its proper divisors (7745418).

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

5882742 is a wasteful number, since it uses less digits than its factorization.

5882742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 294 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 5882742 is about 2425.4364555684. The cubic root of 5882742 is about 180.5205302983.

The spelling of 5882742 in words is "five million, eight hundred eighty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 103 114 167 171 206 309 334 342 501 618 927 1002 1503 1854 1957 3006 3173 3914 5871 6346 9519 11742 17201 17613 19038 28557 34402 35226 51603 57114 103206 154809 309618 326819 653638 980457 1960914 2941371 5882742