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2868648 = 233177989
BaseRepresentation
bin1010111100010110101000
312101202001020
422330112220
51213244043
6141252440
733245256
oct12742650
95352036
102868648
11168a292
12b64120
13795933
145495d6
153b9e83
hex2bc5a8

2868648 has 64 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 878592.

The previous prime is 2868617. The next prime is 2868673. The reversal of 2868648 is 8468682.

2868648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32188 + ... + 32276.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

22868648 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 2868648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

2868648 is an abundant number, since it is smaller than the sum of its proper divisors (4907352).

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

2868648 is a wasteful number, since it uses less digits than its factorization.

2868648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 2868648 is about 1693.7083574217. The cubic root of 2868648 is about 142.0885515255.

The spelling of 2868648 in words is "two million, eight hundred sixty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 89 102 136 158 178 204 237 267 316 356 408 474 534 632 712 948 1068 1343 1513 1896 2136 2686 3026 4029 4539 5372 6052 7031 8058 9078 10744 12104 14062 16116 18156 21093 28124 32232 36312 42186 56248 84372 119527 168744 239054 358581 478108 717162 956216 1434324 2868648