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8226768 = 2431115581
BaseRepresentation
bin11111011000011111010000
3120110222000010
4133120133100
54101224033
6452154520
7126632514
oct37303720
916428003
108226768
114709990
122908a40
131920714
141142144
15ac7863
hex7d87d0

8226768 has 40 divisors (see below), whose sum is σ = 23186016. Its totient is φ = 2492800.

The previous prime is 8226767. The next prime is 8226769. The reversal of 8226768 is 8676228.

8226768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8226767) and next prime (8226769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8226767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7263 + ... + 8318.

Almost surely, 28226768 is an apocalyptic number.

8226768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8226768 is an abundant number, since it is smaller than the sum of its proper divisors (14959248).

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

8226768 is a wasteful number, since it uses less digits than its factorization.

8226768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15603 (or 15597 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 8226768 is about 2868.2343000529. The cubic root of 8226768 is about 201.8721538512.

The spelling of 8226768 in words is "eight million, two hundred twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 15581 31162 46743 62324 93486 124648 171391 186972 249296 342782 373944 514173 685564 747888 1028346 1371128 2056692 2742256 4113384 8226768