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5828544 = 26333373
BaseRepresentation
bin10110001110111111000000
3101222010021000
4112032333000
52443003134
6324532000
7100353561
oct26167700
911863230
105828544
113321087
121b51000
131290c57
14aba168
157a1e99
hex58efc0

5828544 has 56 divisors (see below), whose sum is σ = 17139920. Its totient is φ = 1942272.

The previous prime is 5828513. The next prime is 5828561. The reversal of 5828544 is 4458285.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5828499 and 5828508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 3414.

It is an arithmetic number, because the mean of its divisors is an integer number (306070).

Almost surely, 25828544 is an apocalyptic number.

5828544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5828544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8569960).

5828544 is an abundant number, since it is smaller than the sum of its proper divisors (11311376).

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

5828544 is a wasteful number, since it uses less digits than its factorization.

5828544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3378 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 5828544 is about 2414.2377679094. The cubic root of 5828544 is about 179.9644374188.

The spelling of 5828544 in words is "five million, eight hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3373 6746 10119 13492 20238 26984 30357 40476 53968 60714 80952 91071 107936 121428 161904 182142 215872 242856 323808 364284 485712 647616 728568 971424 1457136 1942848 2914272 5828544