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25280768 = 281737157
BaseRepresentation
bin110000001110…
…0000100000000
31202120101200202
41200130010000
522432441033
62301504332
7424611602
oct140340400
952511622
1025280768
11132a78a7
1285720a8
135311c46
143501172
1523458e8
hex181c100

25280768 has 72 divisors (see below), whose sum is σ = 55224792. Its totient is φ = 11501568.

The previous prime is 25280767. The next prime is 25280789. The reversal of 25280768 is 86708252.

It can be written as a sum of positive squares in 4 ways, for example, as 9535744 + 15745024 = 3088^2 + 3968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25280767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160946 + ... + 161102.

It is an arithmetic number, because the mean of its divisors is an integer number (767011).

Almost surely, 225280768 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 25280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27612396).

25280768 is an abundant number, since it is smaller than the sum of its proper divisors (29944024).

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

25280768 is a wasteful number, since it uses less digits than its factorization.

25280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 25280768 is about 5027.9984089099. The cubic root of 25280768 is about 293.4923288637.

The spelling of 25280768 in words is "twenty-five million, two hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 157 256 272 296 314 544 592 628 629 1088 1184 1256 1258 2176 2368 2512 2516 2669 4352 4736 5024 5032 5338 5809 9472 10048 10064 10676 11618 20096 20128 21352 23236 40192 40256 42704 46472 80512 85408 92944 98753 161024 170816 185888 197506 341632 371776 395012 683264 743552 790024 1487104 1580048 3160096 6320192 12640384 25280768