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2645864 = 2313219103
BaseRepresentation
bin1010000101111101101000
311222102102222
422011331220
51134131424
6132413212
731326614
oct12057550
94872388
102645864
111547971
12a77208
13718400
144cc344
15373e5e
hex285f68

2645864 has 48 divisors (see below), whose sum is σ = 5709600. Its totient is φ = 1145664.

The previous prime is 2645861. The next prime is 2645879. The reversal of 2645864 is 4685462.

2645864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2645861) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25637 + ... + 25739.

It is an arithmetic number, because the mean of its divisors is an integer number (118950).

22645864 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 2645864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854800).

2645864 is an abundant number, since it is smaller than the sum of its proper divisors (3063736).

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

2645864 is a wasteful number, since it uses less digits than its factorization.

2645864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 2645864 is about 1626.6112012402. The cubic root of 2645864 is about 138.3107190336.

It can be divided in two parts, 26 and 45864, that multiplied together give a square (1192464 = 10922).

The spelling of 2645864 in words is "two million, six hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 103 104 152 169 206 247 338 412 494 676 824 988 1339 1352 1957 1976 2678 3211 3914 5356 6422 7828 10712 12844 15656 17407 25441 25688 34814 50882 69628 101764 139256 203528 330733 661466 1322932 2645864