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5941728 = 253313232
BaseRepresentation
bin10110101010100111100000
3102011212112000
4112222213200
53010113403
6331204000
7101334552
oct26524740
912155460
105941728
113399121
121ba6600
131300620
14b094d2
157c57a3
hex5aa9e0

5941728 has 144 divisors (see below), whose sum is σ = 19509840. Its totient is φ = 1748736.

The previous prime is 5941711. The next prime is 5941759. The reversal of 5941728 is 8271495.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 5941692 and 5941701.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 258325 + ... + 258347.

It is an arithmetic number, because the mean of its divisors is an integer number (135485).

Almost surely, 25941728 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 5941728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754920).

5941728 is an abundant number, since it is smaller than the sum of its proper divisors (13568112).

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

5941728 is a wasteful number, since it uses less digits than its factorization.

5941728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5941728 is about 2437.5659991065. The cubic root of 5941728 is about 181.1218820325.

The spelling of 5941728 in words is "five million, nine hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 69 72 78 92 96 104 108 117 138 144 156 184 207 208 216 234 276 288 299 312 351 368 414 416 432 468 529 552 598 621 624 702 736 828 864 897 936 1058 1104 1196 1242 1248 1404 1587 1656 1794 1872 2116 2208 2392 2484 2691 2808 3174 3312 3588 3744 4232 4761 4784 4968 5382 5616 6348 6624 6877 7176 8073 8464 9522 9568 9936 10764 11232 12696 13754 14283 14352 16146 16928 19044 19872 20631 21528 25392 27508 28566 28704 32292 38088 41262 43056 50784 55016 57132 61893 64584 76176 82524 86112 110032 114264 123786 129168 152352 165048 185679 220064 228528 247572 258336 330096 371358 457056 495144 660192 742716 990288 1485432 1980576 2970864 5941728