Search a number
-
+
5889072 = 2437171031
BaseRepresentation
bin10110011101110000110000
3102002012021210
4112131300300
53001422242
6330120120
7101025210
oct26356060
912065253
105889072
113362602
121b80040
1312b2677
14ad4240
157b4d9c
hex59dc30

5889072 has 80 divisors (see below), whose sum is σ = 18427392. Its totient is φ = 1582080.

The previous prime is 5889049. The next prime is 5889073. The reversal of 5889072 is 2709885.

5889072 = T108 + T109 + ... + T331.

It is a self number, because there is not a number n which added to its sum of digits gives 5889072.

It is not an unprimeable number, because it can be changed into a prime (5889073) 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, 5197 + ... + 6227.

Almost surely, 25889072 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 5889072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213696).

5889072 is an abundant number, since it is smaller than the sum of its proper divisors (12538320).

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

5889072 is a wasteful number, since it uses less digits than its factorization.

5889072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 5889072 is about 2426.7410245018. The cubic root of 5889072 is about 180.5852555202.

The spelling of 5889072 in words is "five million, eight hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1031 1428 1904 2062 2856 3093 4124 5712 6186 7217 8248 12372 14434 16496 17527 21651 24744 28868 35054 43302 49488 52581 57736 70108 86604 105162 115472 122689 140216 173208 210324 245378 280432 346416 368067 420648 490756 736134 841296 981512 1472268 1963024 2944536 5889072