Search a number
-
+
25461248 = 292232
BaseRepresentation
bin110000100100…
…0001000000000
31202220120021012
41201020020000
523004224443
62305420052
7426263021
oct141101000
952816235
1025461248
111341045a
12863a628
135376137
14354ac48
15237e118
hex1848200

25461248 has 30 divisors (see below), whose sum is σ = 51101919. Its totient is φ = 12673536.

The previous prime is 25461229. The next prime is 25461251. The reversal of 25461248 is 84216452.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 12730624 + 12730624 = 3568^2 + 3568^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3568.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 114065 + ... + 114287.

Almost surely, 225461248 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 25461248

25461248 is an abundant number, since it is smaller than the sum of its proper divisors (25640671).

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

25461248 is an frugal number, since it uses more digits than its factorization.

25461248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 225 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 25461248 is about 5045.9139905472. The cubic root of 25461248 is about 294.1890896441.

Multiplying 25461248 by its sum of digits (32), we get a square (814759936 = 285442).

25461248 divided by its sum of digits (32) gives a square (795664 = 8922).

The spelling of 25461248 in words is "twenty-five million, four hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 223 256 446 512 892 1784 3568 7136 14272 28544 49729 57088 99458 114176 198916 397832 795664 1591328 3182656 6365312 12730624 25461248