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2592942 = 2311172311
BaseRepresentation
bin1001111001000010101110
311212201211220
421321002232
51130433232
6131324210
731016412
oct11710256
94781756
102592942
111511130
12a50666
136ca2b1
144b6d42
1536342c
hex2790ae

2592942 has 32 divisors (see below), whose sum is σ = 5992704. Its totient is φ = 739200.

The previous prime is 2592929. The next prime is 2592983. The reversal of 2592942 is 2492952.

2592942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 34 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (187272).

22592942 is an apocalyptic number.

2592942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2592942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996352).

2592942 is an abundant number, since it is smaller than the sum of its proper divisors (3399762).

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

2592942 is a wasteful number, since it uses less digits than its factorization.

2592942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344.

The product of its digits is 12960, while the sum is 33.

The square root of 2592942 is about 1610.2614694515. The cubic root of 2592942 is about 137.3823478443.

The spelling of 2592942 in words is "two million, five hundred ninety-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 2311 4622 6933 13866 25421 39287 50842 76263 78574 117861 152526 235722 432157 864314 1296471 2592942