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5928288 = 253371669
BaseRepresentation
bin10110100111010101100000
3102011012002020
4112213111200
53004201123
6331021440
7101250432
oct26472540
912135066
105928288
11338a013
121b9a880
1312c7482
14b04652
157c17e3
hex5a7560

5928288 has 48 divisors (see below), whose sum is σ = 15991920. Its totient is φ = 1921536.

The previous prime is 5928277. The next prime is 5928289. The reversal of 5928288 is 8828295.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×59282882 = 70289197221888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5928289) 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 7 ways as a sum of consecutive naturals, for example, 2718 + ... + 4386.

It is an arithmetic number, because the mean of its divisors is an integer number (333165).

Almost surely, 25928288 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 5928288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995960).

5928288 is an abundant number, since it is smaller than the sum of its proper divisors (10063632).

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

5928288 is a wasteful number, since it uses less digits than its factorization.

5928288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 5928288 is about 2434.8075899340. The cubic root of 5928288 is about 180.9852149538.

It can be divided in two parts, 5928 and 288, that added together give a triangular number (6216 = T111).

The spelling of 5928288 in words is "five million, nine hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1669 1776 3338 3552 5007 6676 10014 13352 20028 26704 40056 53408 61753 80112 123506 160224 185259 247012 370518 494024 741036 988048 1482072 1976096 2964144 5928288