Search a number
-
+
25352300 = 2252594297
BaseRepresentation
bin110000010110…
…1100001101100
31202201000211002
41200231201230
522442233200
62303215432
7425330261
oct140554154
952630732
1025352300
1113346616
1285a7578
13533867c
14351d268
15235bbd5
hex182d86c

25352300 has 36 divisors (see below), whose sum is σ = 55959960. Its totient is φ = 9966720.

The previous prime is 25352263. The next prime is 25352303. The reversal of 25352300 is 325352.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (25352303) 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 11 ways as a sum of consecutive naturals, for example, 3752 + ... + 8048.

Almost surely, 225352300 is an apocalyptic number.

25352300 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 25352300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27979980).

25352300 is an abundant number, since it is smaller than the sum of its proper divisors (30607660).

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

25352300 is a wasteful number, since it uses less digits than its factorization.

25352300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 25352300 is about 5035.1067515992. The cubic root of 25352300 is about 293.7688806334.

Adding to 25352300 its reverse (325352), we get a palindrome (25677652).

It can be divided in two parts, 25352 and 300, that added together give a palindrome (25652).

The spelling of 25352300 in words is "twenty-five million, three hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 4297 5900 8594 17188 21485 42970 85940 107425 214850 253523 429700 507046 1014092 1267615 2535230 5070460 6338075 12676150 25352300