Search a number
-
+
2580498 = 23417937
BaseRepresentation
bin1001110110000000010010
311212002210000
421312000102
51130033443
6131150430
730635214
oct11660022
94762700
102580498
111502848
12a45416
136c472b
144b25b4
1535e8d3
hex276012

2580498 has 40 divisors (see below), whose sum is σ = 6128892. Its totient is φ = 808704.

The previous prime is 2580497. The next prime is 2580509. The reversal of 2580498 is 8940852.

It can be written as a sum of positive squares in 2 ways, for example, as 2537649 + 42849 = 1593^2 + 207^2 .

It is a Curzon number.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580493) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2286 + ... + 3222.

22580498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064446).

2580498 is an abundant number, since it is smaller than the sum of its proper divisors (3548394).

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

2580498 is a wasteful number, since it uses less digits than its factorization.

2580498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2580498 is about 1606.3928535698. The cubic root of 2580498 is about 137.1622210381.

The spelling of 2580498 in words is "two million, five hundred eighty thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 937 1377 1874 2754 2811 5622 8433 15929 16866 25299 31858 47787 50598 75897 95574 143361 151794 286722 430083 860166 1290249 2580498