Search a number
-
+
25436420 = 2251779947
BaseRepresentation
bin110000100001…
…0000100000100
31202212022012122
41201002010010
523002431140
62305105112
7426130442
oct141020404
952768178
1025436420
11133a3839
128628198
135367a49
143541b92
152376ab5
hex1842104

25436420 has 48 divisors (see below), whose sum is σ = 57335040. Its totient is φ = 9444864.

The previous prime is 25436419. The next prime is 25436479. The reversal of 25436420 is 2463452.

It is a super-2 number, since 2×254364202 = 1294022924832800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25436420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26387 + ... + 27333.

It is an arithmetic number, because the mean of its divisors is an integer number (1194480).

Almost surely, 225436420 is an apocalyptic number.

25436420 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 25436420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28667520).

25436420 is an abundant number, since it is smaller than the sum of its proper divisors (31898620).

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

25436420 is a wasteful number, since it uses less digits than its factorization.

25436420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 25436420 is about 5043.4531820966. The cubic root of 25436420 is about 294.0934344460.

Adding to 25436420 its reverse (2463452), we get a palindrome (27899872).

The spelling of 25436420 in words is "twenty-five million, four hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 316 340 395 790 947 1343 1580 1894 2686 3788 4735 5372 6715 9470 13430 16099 18940 26860 32198 64396 74813 80495 149626 160990 299252 321980 374065 748130 1271821 1496260 2543642 5087284 6359105 12718210 25436420