Search a number
-
+
2542236 = 2232361151
BaseRepresentation
bin1001101100101010011100
311210011021220
421230222130
51122322421
6130253340
730415524
oct11545234
94704256
102542236
111487024
12a27250
136b01a8
144a2684
153533c6
hex26ca9c

2542236 has 48 divisors (see below), whose sum is σ = 6332928. Its totient is φ = 792000.

The previous prime is 2542229. The next prime is 2542237. The reversal of 2542236 is 6322452.

2542236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 215 + 58 + 42 + 218 + 218 + 313 + 63 .

Its product of digits (2880) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542237) 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 15 ways as a sum of consecutive naturals, for example, 16761 + ... + 16911.

It is an arithmetic number, because the mean of its divisors is an integer number (131936).

22542236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166464).

2542236 is an abundant number, since it is smaller than the sum of its proper divisors (3790692).

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

2542236 is a wasteful number, since it uses less digits than its factorization.

2542236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 2542236 is about 1594.4390863247. The cubic root of 2542236 is about 136.4809242218.

Adding to 2542236 its reverse (6322452), we get a palindrome (8864688).

The spelling of 2542236 in words is "two million, five hundred forty-two thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 151 183 244 276 302 366 453 604 732 906 1403 1812 2806 3473 4209 5612 6946 8418 9211 10419 13892 16836 18422 20838 27633 36844 41676 55266 110532 211853 423706 635559 847412 1271118 2542236