Search a number
-
+
2556524404 = 227198235839
BaseRepresentation
bin1001100001100001…
…0111011101110100
320121011112220012001
42120120113131310
520213432240104
61101403105044
7120232045630
oct23030273564
96534486161
102556524404
1110a2100695
125b4212184
13319860445
141a3765dc0
15ee693aa4
hex98617774

2556524404 has 48 divisors (see below), whose sum is σ = 5389619200. Its totient is φ = 1036548576.

The previous prime is 2556524401. The next prime is 2556524407. The reversal of 2556524404 is 4044256552.

It is a happy number.

2556524404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2556524401) and next prime (2556524407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556524401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434917 + ... + 440755.

Almost surely, 22556524404 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 2556524404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694809600).

2556524404 is an abundant number, since it is smaller than the sum of its proper divisors (2833094796).

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

2556524404 is a wasteful number, since it uses less digits than its factorization.

2556524404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6692 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The square root of 2556524404 is about 50562.0846484794. The cubic root of 2556524404 is about 1367.3613951342.

The spelling of 2556524404 in words is "two billion, five hundred fifty-six million, five hundred twenty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 823 1646 3292 5761 5839 11522 11678 15637 23044 23356 31274 40873 62548 81746 109459 110941 163492 218918 221882 437836 443764 776587 1553174 3106348 4805497 9610994 19221988 33638479 67276958 91304443 134553916 182608886 365217772 639131101 1278262202 2556524404