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2468808 = 2332172017
BaseRepresentation
bin1001011010101111001000
311122102120100
421122233020
51113000213
6124525400
726661456
oct11325710
94572510
102468808
111436941
129b0860
13685944
144839d6
1533b773
hex25abc8

2468808 has 48 divisors (see below), whose sum is σ = 7083180. Its totient is φ = 774144.

The previous prime is 2468801. The next prime is 2468813. The reversal of 2468808 is 8088642.

2468808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2196324 + 272484 = 1482^2 + 522^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468801) 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, 216 + ... + 2232.

22468808 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 2468808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541590).

2468808 is an abundant number, since it is smaller than the sum of its proper divisors (4614372).

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

2468808 is a wasteful number, since it uses less digits than its factorization.

2468808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2468808 is about 1571.2440930677. The cubic root of 2468808 is about 135.1540627989.

The spelling of 2468808 in words is "two million, four hundred sixty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2017 4034 6051 8068 12102 16136 18153 24204 34289 36306 48408 68578 72612 102867 137156 145224 205734 274312 308601 411468 617202 822936 1234404 2468808