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5906368 = 261331229
BaseRepresentation
bin10110100001111111000000
3102010002000101
4112201333000
53003000433
6330332144
7101126506
oct26417700
912102011
105906368
1133745a6
121b8a054
1312ba4c0
14ada676
157ba07d
hex5a1fc0

5906368 has 56 divisors (see below), whose sum is σ = 13086080. Its totient is φ = 2626560.

The previous prime is 5906323. The next prime is 5906371. The reversal of 5906368 is 8636095.

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 7 ways as a sum of consecutive naturals, for example, 25678 + ... + 25906.

It is an arithmetic number, because the mean of its divisors is an integer number (233680).

Almost surely, 25906368 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 5906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543040).

5906368 is an abundant number, since it is smaller than the sum of its proper divisors (7179712).

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

5906368 is a wasteful number, since it uses less digits than its factorization.

5906368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 5906368 is about 2430.3020388421. The cubic root of 5906368 is about 180.7618736011.

The spelling of 5906368 in words is "five million, nine hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 229 248 403 416 458 496 806 832 916 992 1612 1832 1984 2977 3224 3664 5954 6448 7099 7328 11908 12896 14198 14656 23816 25792 28396 47632 56792 92287 95264 113584 184574 190528 227168 369148 454336 738296 1476592 2953184 5906368