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8276268 = 22371113253
BaseRepresentation
bin11111100100100100101100
3120120110220110
4133210210230
54104320033
6453220020
7130230030
oct37444454
916513813
108276268
1147430a0
122931610
13193a100
1411561c0
15ad7363
hex7e492c

8276268 has 144 divisors (see below), whose sum is σ = 26562816. Its totient is φ = 1946880.

The previous prime is 8276231. The next prime is 8276273. The reversal of 8276268 is 8626728.

8276268 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82762682 = 136993224015648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156130 + ... + 156182.

It is an arithmetic number, because the mean of its divisors is an integer number (184464).

Almost surely, 28276268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8276268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281408).

8276268 is an abundant number, since it is smaller than the sum of its proper divisors (18286548).

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

8276268 is a wasteful number, since it uses less digits than its factorization.

8276268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

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

The square root of 8276268 is about 2876.8503610720. The cubic root of 8276268 is about 202.2762289616.

8276268 divided by its sum of digits (39) gives a palindrome (212212).

The spelling of 8276268 in words is "eight million, two hundred seventy-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 53 66 77 78 84 91 106 132 143 154 156 159 169 182 212 231 273 286 308 318 338 364 371 429 462 507 546 572 583 636 676 689 742 858 924 1001 1014 1092 1113 1166 1183 1378 1484 1716 1749 1859 2002 2028 2067 2226 2332 2366 2756 3003 3498 3549 3718 4004 4081 4134 4452 4732 4823 5577 6006 6996 7098 7436 7579 8162 8268 8957 9646 11154 12012 12243 13013 14196 14469 15158 16324 17914 19292 22308 22737 24486 26026 26871 28938 30316 35828 39039 45474 48972 52052 53053 53742 57876 62699 78078 90948 98527 106106 107484 125398 156156 159159 188097 197054 212212 250796 295581 318318 376194 394108 591162 636636 689689 752388 1182324 1379378 2069067 2758756 4138134 8276268