Search a number
-
+
2584098 = 2321131421
BaseRepresentation
bin1001110110111000100010
311212021201100
421312320202
51130142343
6131215230
730651546
oct11667042
94767640
102584098
111505520
12a47516
136c626a
144b3a26
153609d3
hex276e22

2584098 has 48 divisors (see below), whose sum is σ = 6319872. Its totient is φ = 756000.

The previous prime is 2584097. The next prime is 2584111. The reversal of 2584098 is 8904852.

2584098 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 (2584091) 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, 5928 + ... + 6348.

It is an arithmetic number, because the mean of its divisors is an integer number (131664).

22584098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2584098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159936).

2584098 is an abundant number, since it is smaller than the sum of its proper divisors (3735774).

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

2584098 is a wasteful number, since it uses less digits than its factorization.

2584098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 468 counting only the distinct ones).

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

The square root of 2584098 is about 1607.5129859507. The cubic root of 2584098 is about 137.2259754699.

It can be divided in two parts, 258 and 4098, that added together give a square (4356 = 662).

The spelling of 2584098 in words is "two million, five hundred eighty-four thousand, ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 421 558 682 842 1023 1263 2046 2526 3069 3789 4631 6138 7578 9262 13051 13893 26102 27786 39153 41679 78306 83358 117459 143561 234918 287122 430683 861366 1292049 2584098