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3116256 = 2531113227
BaseRepresentation
bin1011111000110011100000
312212022200220
423320303200
51244210011
6150443040
735326203
oct13706340
95768626
103116256
111839320
121063480
13851550
145b193a
15418506
hex2f8ce0

3116256 has 96 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 867840.

The previous prime is 3116233. The next prime is 3116257. The reversal of 3116256 is 6526113.

3116256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3116256 is a nontrivial binomial coefficient, being equal to C(2497, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31162562 = 19422102915072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116257) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13615 + ... + 13841.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

Almost surely, 23116256 is an apocalyptic number.

3116256 is the 2496-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

3116256 is an abundant number, since it is smaller than the sum of its proper divisors (6536352).

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

3116256 is a wasteful number, since it uses less digits than its factorization.

3116256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 3116256 is about 1765.2920438273. The cubic root of 3116256 is about 146.0643989374.

The spelling of 3116256 in words is "three million, one hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 227 264 286 312 352 416 429 454 528 572 624 681 858 908 1056 1144 1248 1362 1716 1816 2288 2497 2724 2951 3432 3632 4576 4994 5448 5902 6864 7264 7491 8853 9988 10896 11804 13728 14982 17706 19976 21792 23608 29964 32461 35412 39952 47216 59928 64922 70824 79904 94432 97383 119856 129844 141648 194766 239712 259688 283296 389532 519376 779064 1038752 1558128 3116256