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8282848 = 257103359
BaseRepresentation
bin11111100110001011100000
3120120210221011
4133212023200
54110022343
6453310304
7130255150
oct37461340
916523834
108282848
114748032
122935394
1319400c2
141158760
15ad929d
hex7e62e0

8282848 has 48 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 3505536.

The previous prime is 8282843. The next prime is 8282851. The reversal of 8282848 is 8482828.

It is a happy number.

8282848 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×82828482 = 137211141982208, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8282848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22893 + ... + 23251.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 28282848 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 8282848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

8282848 is an abundant number, since it is smaller than the sum of its proper divisors (10586912).

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

8282848 is a wasteful number, since it uses less digits than its factorization.

8282848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its digits is 65536, while the sum is 40.

The square root of 8282848 is about 2877.9937456499. The cubic root of 8282848 is about 202.3298209515.

The spelling of 8282848 in words is "eight million, two hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 359 412 718 721 824 1436 1442 1648 2513 2872 2884 3296 5026 5744 5768 10052 11488 11536 20104 23072 36977 40208 73954 80416 147908 258839 295816 517678 591632 1035356 1183264 2070712 4141424 8282848