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2642144 = 2582567
BaseRepresentation
bin1010000101000011100000
311222020100012
422011003200
51134022034
6132344052
731313021
oct12050340
94866305
102642144
11154509a
12a75028
137167cb
144cac48
15372cce
hex2850e0

2642144 has 12 divisors (see below), whose sum is σ = 5201784. Its totient is φ = 1321056.

The previous prime is 2642141. The next prime is 2642147. The reversal of 2642144 is 4412462.

2642144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2642141) and next prime (2642147).

It is a super-3 number, since 3×26421443 = 55333826649613565952, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41252 + ... + 41315.

It is an arithmetic number, because the mean of its divisors is an integer number (433482).

22642144 is an apocalyptic number.

It is an amenable number.

2642144 is a deficient number, since it is larger than the sum of its proper divisors (2559640).

2642144 is an equidigital number, since it uses as much as digits as its factorization.

2642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82577 (or 82569 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 2642144 is about 1625.4673174198. The cubic root of 2642144 is about 138.2458684852.

The spelling of 2642144 in words is "two million, six hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 82567 165134 330268 660536 1321072 2642144