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5825984 = 26294373
BaseRepresentation
bin10110001110010111000000
3101221222202012
4112032113000
52442412414
6324512052
7100343243
oct26162700
911858665
105825984
11331a16a
121b4b628
13128ca38
14ab925a
157a133e
hex58e5c0

5825984 has 56 divisors (see below), whose sum is σ = 12405360. Its totient is φ = 2709504.

The previous prime is 5825971. The next prime is 5825993. The reversal of 5825984 is 4895285.

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, 79772 + ... + 79844.

Almost surely, 25825984 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 5825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202680).

5825984 is an abundant number, since it is smaller than the sum of its proper divisors (6579376).

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

5825984 is a wasteful number, since it uses less digits than its factorization.

5825984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its digits is 115200, while the sum is 41.

The square root of 5825984 is about 2413.7075216355. The cubic root of 5825984 is about 179.9380857018.

It can be divided in two parts, 58259 and 84, that multiplied together give a triangular number (4893756 = T3128).

The spelling of 5825984 in words is "five million, eight hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 43 58 64 73 86 116 146 172 232 292 344 464 584 688 928 1168 1247 1376 1856 2117 2336 2494 2752 3139 4234 4672 4988 6278 8468 9976 12556 16936 19952 25112 33872 39904 50224 67744 79808 91031 100448 135488 182062 200896 364124 728248 1456496 2912992 5825984