Search a number
-
+
25781248 = 210171481
BaseRepresentation
bin110001001011…
…0010000000000
31210111211020001
41202112100000
523044444443
62320325344
7432064663
oct142262000
953454201
1025781248
1113609919
128773854
13545899c
1435d16da
1523e3d4d
hex1896400

25781248 has 44 divisors (see below), whose sum is σ = 54605772. Its totient is φ = 12124160.

The previous prime is 25781237. The next prime is 25781257. The reversal of 25781248 is 84218752.

It can be written as a sum of positive squares in 2 ways, for example, as 15745024 + 10036224 = 3968^2 + 3168^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16668 + ... + 18148.

Almost surely, 225781248 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 25781248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27302886).

25781248 is an abundant number, since it is smaller than the sum of its proper divisors (28824524).

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

25781248 is a wasteful number, since it uses less digits than its factorization.

25781248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1500 counting only the distinct ones).

The product of its digits is 35840, while the sum is 37.

The square root of 25781248 is about 5077.5238059511. The cubic root of 25781248 is about 295.4164299778.

The spelling of 25781248 in words is "twenty-five million, seven hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1481 2176 2962 4352 5924 8704 11848 17408 23696 25177 47392 50354 94784 100708 189568 201416 379136 402832 758272 805664 1516544 1611328 3222656 6445312 12890624 25781248