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5800256 = 267112107
BaseRepresentation
bin10110001000000101000000
3101220200110022
4112020011000
52441102011
6324153012
7100205240
oct26100500
911820408
105800256
113301900
121b38768
131281107
14aadb20
157988db
hex588140

5800256 has 84 divisors (see below), whose sum is σ = 14593824. Its totient is φ = 2238720.

The previous prime is 5800243. The next prime is 5800279. The reversal of 5800256 is 6520085.

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, 54155 + ... + 54261.

It is an arithmetic number, because the mean of its divisors is an integer number (173736).

Almost surely, 25800256 is an apocalyptic number.

5800256 is a gapful number since it is divisible by the number (56) 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 5800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296912).

5800256 is an abundant number, since it is smaller than the sum of its proper divisors (8793568).

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

5800256 is a wasteful number, since it uses less digits than its factorization.

5800256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5800256 is about 2408.3720642791. The cubic root of 5800256 is about 179.6728212987.

The spelling of 5800256 in words is "five million, eight hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 107 112 121 154 176 214 224 242 308 352 428 448 484 616 704 749 847 856 968 1177 1232 1498 1694 1712 1936 2354 2464 2996 3388 3424 3872 4708 4928 5992 6776 6848 7744 8239 9416 11984 12947 13552 16478 18832 23968 25894 27104 32956 37664 47936 51788 54208 65912 75328 90629 103576 131824 181258 207152 263648 362516 414304 527296 725032 828608 1450064 2900128 5800256