Search a number
-
+
5058592 = 257112053
BaseRepresentation
bin10011010011000000100000
3100112000002021
4103103000200
52243333332
6300231224
760666040
oct23230040
910460067
105058592
112945660
12183b514
131081666
14959720
1569dc97
hex4d3020

5058592 has 48 divisors (see below), whose sum is σ = 12422592. Its totient is φ = 1969920.

The previous prime is 5058589. The next prime is 5058593. The reversal of 5058592 is 2958505.

It is not an unprimeable number, because it can be changed into a prime (5058593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1438 + ... + 3490.

It is an arithmetic number, because the mean of its divisors is an integer number (258804).

Almost surely, 25058592 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 5058592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211296).

5058592 is an abundant number, since it is smaller than the sum of its proper divisors (7364000).

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

5058592 is a wasteful number, since it uses less digits than its factorization.

5058592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 5058592 is about 2249.1313878918. The cubic root of 5058592 is about 171.6629418657.

The spelling of 5058592 in words is "five million, fifty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2053 2464 4106 8212 14371 16424 22583 28742 32848 45166 57484 65696 90332 114968 158081 180664 229936 316162 361328 459872 632324 722656 1264648 2529296 5058592