Search a number
-
+
25375240 = 23511101571
BaseRepresentation
bin110000011001…
…1001000001000
31202202012021201
41200303020020
522444001430
62303513544
7425454202
oct140631010
952665251
1025375240
1113361880
1285b88b4
135345c47
143527772
1523638ca
hex1833208

25375240 has 64 divisors (see below), whose sum is σ = 63011520. Its totient is φ = 9120000.

The previous prime is 25375213. The next prime is 25375243. The reversal of 25375240 is 4257352.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 25375199 and 25375208.

It is not an unprimeable number, because it can be changed into a prime (25375243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44155 + ... + 44725.

It is an arithmetic number, because the mean of its divisors is an integer number (984555).

Almost surely, 225375240 is an apocalyptic number.

25375240 is a gapful number since it is divisible by the number (20) 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 25375240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505760).

25375240 is an abundant number, since it is smaller than the sum of its proper divisors (37636280).

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

25375240 is a wasteful number, since it uses less digits than its factorization.

25375240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 25375240 is about 5037.3842418462. The cubic root of 25375240 is about 293.8574594019.

It can be divided in two parts, 2537 and 5240, that added together give a palindrome (7777).

The spelling of 25375240 in words is "twenty-five million, three hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 571 808 1010 1111 1142 2020 2222 2284 2855 4040 4444 4568 5555 5710 6281 8888 11110 11420 12562 22220 22840 25124 31405 44440 50248 57671 62810 115342 125620 230684 251240 288355 461368 576710 634381 1153420 1268762 2306840 2537524 3171905 5075048 6343810 12687620 25375240