Search a number
-
+
25382728 = 2374383127
BaseRepresentation
bin110000011010…
…0111101001000
31202202120120001
41200310331020
522444221403
62304012344
7425515060
oct140647510
952676501
1025382728
1113367468
1286010b4
135349487
14352a3a0
152365c1d
hex1834f48

25382728 has 64 divisors (see below), whose sum is σ = 56770560. Its totient is φ = 10414656.

The previous prime is 25382723. The next prime is 25382789. The reversal of 25382728 is 82728352.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25382723) 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, 199801 + ... + 199927.

It is an arithmetic number, because the mean of its divisors is an integer number (887040).

Almost surely, 225382728 is an apocalyptic number.

25382728 is a gapful number since it is divisible by the number (28) 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 25382728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28385280).

25382728 is an abundant number, since it is smaller than the sum of its proper divisors (31387832).

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

25382728 is a wasteful number, since it uses less digits than its factorization.

25382728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 25382728 is about 5038.1274299089. The cubic root of 25382728 is about 293.8863614372.

The spelling of 25382728 in words is "twenty-five million, three hundred eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 43 56 83 86 127 166 172 254 301 332 344 508 581 602 664 889 1016 1162 1204 1778 2324 2408 3556 3569 4648 5461 7112 7138 10541 10922 14276 21082 21844 24983 28552 38227 42164 43688 49966 73787 76454 84328 99932 147574 152908 199864 295148 305816 453263 590296 906526 1813052 3172841 3626104 6345682 12691364 25382728