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8273268 = 2232229813
BaseRepresentation
bin11111100011110101110100
3120120022210100
4133203311310
54104221033
6453154100
7130215213
oct37436564
916508710
108273268
114740913
12292b930
131938933
14115507a
15ad6513
hex7e3d74

8273268 has 18 divisors (see below), whose sum is σ = 20913074. Its totient is φ = 2757744.

The previous prime is 8273263. The next prime is 8273299. The reversal of 8273268 is 8623728.

It is a happy number.

8273268 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8054244 + 219024 = 2838^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 229813 = 8273268 / (8 + 2 + 7 + 3 + 2 + 6 + 8).

It is a d-powerful number, because it can be written as 82 + 216 + 78 + 35 + 216 + 67 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8273263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114871 + ... + 114942.

Almost surely, 28273268 is an apocalyptic number.

It is an amenable number.

8273268 is an abundant number, since it is smaller than the sum of its proper divisors (12639806).

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

8273268 is a wasteful number, since it uses less digits than its factorization.

8273268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229823 (or 229818 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8273268 is about 2876.3289102604. The cubic root of 8273268 is about 202.2517854957.

It can be divided in two parts, 827 and 3268, that added together give a triangular number (4095 = T90).

The spelling of 8273268 in words is "eight million, two hundred seventy-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 229813 459626 689439 919252 1378878 2068317 2757756 4136634 8273268