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5858336 = 251121789
BaseRepresentation
bin10110010110010000100000
3102000122010102
4112112100200
52444431321
6325321532
7100536461
oct26262040
912018112
105858336
113341500
121b662a8
1312a1693
14ac6d68
157aac0b
hex596420

5858336 has 72 divisors (see below), whose sum is σ = 13573980. Its totient is φ = 2478080.

The previous prime is 5858317. The next prime is 5858341. The reversal of 5858336 is 6338585.

It can be written as a sum of positive squares in 2 ways, for example, as 5856400 + 1936 = 2420^2 + 44^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5858336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65780 + ... + 65868.

Almost surely, 25858336 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 5858336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786990).

5858336 is an abundant number, since it is smaller than the sum of its proper divisors (7715644).

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

5858336 is a wasteful number, since it uses less digits than its factorization.

5858336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 5858336 is about 2420.3999669476. The cubic root of 5858336 is about 180.2705396777.

Subtracting 5858336 from its reverse (6338585), we obtain a square (480249 = 6932).

The spelling of 5858336 in words is "five million, eight hundred fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 89 121 136 176 178 187 242 272 352 356 374 484 544 712 748 968 979 1424 1496 1513 1936 1958 2057 2848 2992 3026 3872 3916 4114 5984 6052 7832 8228 10769 12104 15664 16456 16643 21538 24208 31328 32912 33286 43076 48416 65824 66572 86152 133144 172304 183073 266288 344608 366146 532576 732292 1464584 2929168 5858336