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5528832 = 28323313
BaseRepresentation
bin10101000101110100000000
3101101220010120
4111011310000
52403410312
6314300240
764665021
oct25056400
911356116
105528832
113136991
121a27680
1311b76ca
14a3cc48
1574328c
hex545d00

5528832 has 72 divisors (see below), whose sum is σ = 15403584. Its totient is φ = 1757184.

The previous prime is 5528827. The next prime is 5528837. The reversal of 5528832 is 2388255.

5528832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5528827) and next prime (5528837).

It is a junction number, because it is equal to n+sod(n) for n = 5528793 and 5528802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5528837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17508 + ... + 17820.

Almost surely, 25528832 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 5528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701792).

5528832 is an abundant number, since it is smaller than the sum of its proper divisors (9874752).

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

5528832 is a wasteful number, since it uses less digits than its factorization.

5528832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 5528832 is about 2351.3468480852. The cubic root of 5528832 is about 176.8253248190.

It can be divided in two parts, 552 and 8832, that multiplied together give a square (4875264 = 22082).

The spelling of 5528832 in words is "five million, five hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 313 368 384 552 626 736 768 939 1104 1252 1472 1878 2208 2504 2944 3756 4416 5008 5888 7199 7512 8832 10016 14398 15024 17664 20032 21597 28796 30048 40064 43194 57592 60096 80128 86388 115184 120192 172776 230368 240384 345552 460736 691104 921472 1382208 1842944 2764416 5528832