Search a number
-
+
2525796 = 2233713257
BaseRepresentation
bin1001101000101001100100
311202022202000
421220221210
51121311141
6130045300
730316560
oct11505144
94668660
102525796
111475739
12a19830
136a5870
1449a6a0
1534d5b6
hex268a64

2525796 has 96 divisors (see below), whose sum is σ = 8090880. Its totient is φ = 663552.

The previous prime is 2525779. The next prime is 2525797. The reversal of 2525796 is 6975252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 218 + 52 + 219 + 54 + 72 + 95 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 2525796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9700 + ... + 9956.

It is an arithmetic number, because the mean of its divisors is an integer number (84280).

22525796 is an apocalyptic number.

2525796 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045440).

2525796 is an abundant number, since it is smaller than the sum of its proper divisors (5565084).

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

2525796 is a wasteful number, since it uses less digits than its factorization.

2525796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 2525796 is about 1589.2753065470. The cubic root of 2525796 is about 136.1860918477.

It can be divided in two parts, 2525 and 796, that added together give a triangular number (3321 = T81).

The spelling of 2525796 in words is "two million, five hundred twenty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 257 273 351 364 378 468 514 546 702 756 771 819 1028 1092 1404 1542 1638 1799 2313 2457 3084 3276 3341 3598 4626 4914 5397 6682 6939 7196 9252 9828 10023 10794 13364 13878 16191 20046 21588 23387 27756 30069 32382 40092 46774 48573 60138 64764 70161 90207 93548 97146 120276 140322 180414 194292 210483 280644 360828 420966 631449 841932 1262898 2525796