Search a number
-
+
5958888 = 2331371269
BaseRepresentation
bin10110101110110011101000
3102012202001120
4112232303220
53011141023
6331415240
7101435565
oct26566350
912182046
105958888
113400001
121bb4520
131308390
14b1186c
157ca8e3
hex5aece8

5958888 has 64 divisors (see below), whose sum is σ = 16329600. Its totient is φ = 1800960.

The previous prime is 5958881. The next prime is 5958889. The reversal of 5958888 is 8888595.

It is a self number, because there is not a number n which added to its sum of digits gives 5958888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5958881) 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 15 ways as a sum of consecutive naturals, for example, 22018 + ... + 22286.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 25958888 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 5958888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

5958888 is an abundant number, since it is smaller than the sum of its proper divisors (10370712).

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

5958888 is a wasteful number, since it uses less digits than its factorization.

5958888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its digits is 921600, while the sum is 51.

The square root of 5958888 is about 2441.0833660488. The cubic root of 5958888 is about 181.2960773855.

The spelling of 5958888 in words is "five million, nine hundred fifty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 269 284 312 426 538 568 807 852 923 1076 1614 1704 1846 2152 2769 3228 3497 3692 5538 6456 6994 7384 10491 11076 13988 19099 20982 22152 27976 38198 41964 57297 76396 83928 114594 152792 229188 248287 458376 496574 744861 993148 1489722 1986296 2979444 5958888