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8012257 = 112232879
BaseRepresentation
bin11110100100000111100001
3120002001202021
4132210013201
54022343012
6443421441
7125050231
oct36440741
916061667
108012257
114582800
122824881
131876ba6
1410c7cc1
15a84007
hex7a41e1

8012257 has 12 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 6964760.

The previous prime is 8012227. The next prime is 8012269. The reversal of 8012257 is 7522108.

It is not a de Polignac number, because 8012257 - 219 = 7487969 is a prime.

It is a Duffinian number.

8012257 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8012227) 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 11 ways as a sum of consecutive naturals, for example, 1344 + ... + 4222.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 28012257 is an apocalyptic number.

It is an amenable number.

8012257 is a deficient number, since it is larger than the sum of its proper divisors (1180703).

8012257 is a wasteful number, since it uses less digits than its factorization.

8012257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 8012257 is about 2830.5930474019. The cubic root of 8012257 is about 200.1020895464.

The spelling of 8012257 in words is "eight million, twelve thousand, two hundred fifty-seven".

Divisors: 1 11 23 121 253 2783 2879 31669 66217 348359 728387 8012257