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8249268 = 2231997373
BaseRepresentation
bin11111011101111110110100
3120112002212110
4133131332310
54102434033
6452451020
7130055226
oct37357664
916462773
108249268
114724885
122919a70
13192aa31
14114a416
15ace363
hex7ddfb4

8249268 has 48 divisors (see below), whose sum is σ = 20525120. Its totient is φ = 2571264.

The previous prime is 8249207. The next prime is 8249303. The reversal of 8249268 is 8629428.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21930 + ... + 22302.

Almost surely, 28249268 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 8249268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262560).

8249268 is an abundant number, since it is smaller than the sum of its proper divisors (12275852).

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

8249268 is a wasteful number, since it uses less digits than its factorization.

8249268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 494 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 8249268 is about 2872.1538955982. The cubic root of 8249268 is about 202.0560247176.

The spelling of 8249268 in words is "eight million, two hundred forty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 228 291 373 388 582 746 1119 1164 1492 1843 2238 3686 4476 5529 7087 7372 11058 14174 21261 22116 28348 36181 42522 72362 85044 108543 144724 217086 434172 687439 1374878 2062317 2749756 4124634 8249268