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8244264 = 2337311583
BaseRepresentation
bin11111011100110000101000
3120111212000010
4133130300220
54102304024
6452411520
7130034520
oct37346050
916455003
108244264
114721046
122916ba0
131928682
141148680
15accb29
hex7dcc28

8244264 has 64 divisors (see below), whose sum is σ = 24330240. Its totient is φ = 2278080.

The previous prime is 8244263. The next prime is 8244277. The reversal of 8244264 is 4624428.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8244263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4417 + ... + 5999.

It is an arithmetic number, because the mean of its divisors is an integer number (380160).

Almost surely, 28244264 is an apocalyptic number.

8244264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8244264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165120).

8244264 is an abundant number, since it is smaller than the sum of its proper divisors (16085976).

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

8244264 is a wasteful number, since it uses less digits than its factorization.

8244264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1626 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 8244264 is about 2871.2826402150. The cubic root of 8244264 is about 202.0151607743.

The spelling of 8244264 in words is "eight million, two hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1583 1736 2604 3166 4749 5208 6332 9498 11081 12664 18996 22162 33243 37992 44324 49073 66486 88648 98146 132972 147219 196292 265944 294438 343511 392584 588876 687022 1030533 1177752 1374044 2061066 2748088 4122132 8244264