Search a number
-
+
25556128 = 2513232671
BaseRepresentation
bin110000101111…
…1010010100000
31210002101102021
41201133102200
523020244003
62311431224
7430136443
oct141372240
953071367
1025556128
1113475774
128685514
1353aa390
14357365a
15239c2bd
hex185f4a0

25556128 has 48 divisors (see below), whose sum is σ = 56560896. Its totient is φ = 11278080.

The previous prime is 25556119. The next prime is 25556129. The reversal of 25556128 is 82165552.

It is a junction number, because it is equal to n+sod(n) for n = 25556093 and 25556102.

It is not an unprimeable number, because it can be changed into a prime (25556129) 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 7 ways as a sum of consecutive naturals, for example, 8233 + ... + 10903.

It is an arithmetic number, because the mean of its divisors is an integer number (1178352).

Almost surely, 225556128 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 25556128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28280448).

25556128 is an abundant number, since it is smaller than the sum of its proper divisors (31004768).

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

25556128 is a wasteful number, since it uses less digits than its factorization.

25556128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2709 counting only the distinct ones).

The product of its digits is 24000, while the sum is 34.

The square root of 25556128 is about 5055.3069145206. The cubic root of 25556128 is about 294.5540633843.

The spelling of 25556128 in words is "twenty-five million, five hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 2671 4784 5342 9568 10684 21368 34723 42736 61433 69446 85472 122866 138892 245732 277784 491464 555568 798629 982928 1111136 1597258 1965856 3194516 6389032 12778064 25556128