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2591442 = 2327131157
BaseRepresentation
bin1001111000101011010010
311212122210100
421320223102
51130411232
6131313230
731012140
oct11705322
94778710
102591442
11150aa97
12a4b816
136c96c9
144b6590
15362c7c
hex278ad2

2591442 has 48 divisors (see below), whose sum is σ = 6507072. Its totient is φ = 730080.

The previous prime is 2591441. The next prime is 2591447. The reversal of 2591442 is 2441952.

2591442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2591441) 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 23 ways as a sum of consecutive naturals, for example, 16428 + ... + 16584.

It is an arithmetic number, because the mean of its divisors is an integer number (135564).

22591442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2591442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253536).

2591442 is an abundant number, since it is smaller than the sum of its proper divisors (3915630).

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

2591442 is a wasteful number, since it uses less digits than its factorization.

2591442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 300 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2591442 is about 1609.7956392039. The cubic root of 2591442 is about 137.3558511374.

The spelling of 2591442 in words is "two million, five hundred ninety-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 157 262 314 393 471 786 917 942 1099 1179 1413 1834 2198 2358 2751 2826 3297 5502 6594 8253 9891 16506 19782 20567 41134 61701 123402 143969 185103 287938 370206 431907 863814 1295721 2591442