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2483768 = 237172609
BaseRepresentation
bin1001011110011000111000
311200012002102
421132120320
51113440033
6125122532
730053210
oct11363070
94605072
102483768
111447101
129b9448
1368c6b1
14489240
15340de8
hex25e638

2483768 has 32 divisors (see below), whose sum is σ = 5637600. Its totient is φ = 1001472.

The previous prime is 2483753. The next prime is 2483777. The reversal of 2483768 is 8673842.

2483768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 353 + ... + 2256.

It is an arithmetic number, because the mean of its divisors is an integer number (176175).

22483768 is an apocalyptic number.

2483768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2483768 is an abundant number, since it is smaller than the sum of its proper divisors (3153832).

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

2483768 is a wasteful number, since it uses less digits than its factorization.

2483768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2635 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 2483768 is about 1575.9974619269. The cubic root of 2483768 is about 135.4265066249.

The spelling of 2483768 in words is "two million, four hundred eighty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 2609 5218 10436 18263 20872 36526 44353 73052 88706 146104 177412 310471 354824 620942 1241884 2483768