Search a number
-
+
2876256 = 25333329
BaseRepresentation
bin1010111110001101100000
312102010111000
422332031200
51214020011
6141352000
733306405
oct12761540
95363430
102876256
111694a79
12b68600
13799236
1454c2ac
153bc356
hex2be360

2876256 has 48 divisors (see below), whose sum is σ = 8391600. Its totient is φ = 958464.

The previous prime is 2876233. The next prime is 2876261. The reversal of 2876256 is 6526782.

2876256 is a `hidden beast` number, since 28 + 7 + 625 + 6 = 666.

2876256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 217 + 82 + 7 + 64 + 220 + 56 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 2876256.

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, 801 + ... + 2528.

It is an arithmetic number, because the mean of its divisors is an integer number (174825).

22876256 is an apocalyptic number.

It is an amenable number.

2876256 is an abundant number, since it is smaller than the sum of its proper divisors (5515344).

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

2876256 is a wasteful number, since it uses less digits than its factorization.

2876256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3334 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2876256 is about 1695.9528295327. The cubic root of 2876256 is about 142.2140526268.

The spelling of 2876256 in words is "two million, eight hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3329 6658 9987 13316 19974 26632 29961 39948 53264 59922 79896 89883 106528 119844 159792 179766 239688 319584 359532 479376 719064 958752 1438128 2876256