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2082393 = 32401577
BaseRepresentation
bin111111100011001011001
310220210111200
413330121121
51013114033
6112344413
723462055
oct7743131
93823450
102082393
1111a2595
12845109
1357bab1
143c2c65
152b2013
hex1fc659

2082393 has 12 divisors (see below), whose sum is σ = 3020628. Its totient is φ = 1382400.

The previous prime is 2082391. The next prime is 2082413. The reversal of 2082393 is 3932802.

It can be written as a sum of positive squares in 2 ways, for example, as 2064969 + 17424 = 1437^2 + 132^2 .

It is not a de Polignac number, because 2082393 - 21 = 2082391 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

2082393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2082391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3321 + ... + 3897.

It is an arithmetic number, because the mean of its divisors is an integer number (251719).

22082393 is an apocalyptic number.

It is an amenable number.

2082393 is a deficient number, since it is larger than the sum of its proper divisors (938235).

2082393 is a wasteful number, since it uses less digits than its factorization.

2082393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2082393 is about 1443.0498951873. The cubic root of 2082393 is about 127.6990202057.

It can be divided in two parts, 208 and 2393, that added together give a square (2601 = 512).

The spelling of 2082393 in words is "two million, eighty-two thousand, three hundred ninety-three".

Divisors: 1 3 9 401 577 1203 1731 3609 5193 231377 694131 2082393