Search a number
-
+
25620738 = 23111322297
BaseRepresentation
bin110000110111…
…1000100000010
31210012200001020
41201233010002
523024330423
62313050310
7430526013
oct141570402
953180036
1025620738
111350a270
1286b6996
135400900
14358d00a
1523b14e3
hex186f102

25620738 has 48 divisors (see below), whose sum is σ = 60556896. Its totient is φ = 7163520.

The previous prime is 25620719. The next prime is 25620739. The reversal of 25620738 is 83702652.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 25620699 and 25620708.

It is not an unprimeable number, because it can be changed into a prime (25620739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10006 + ... + 12302.

It is an arithmetic number, because the mean of its divisors is an integer number (1261602).

Almost surely, 225620738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25620738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30278448).

25620738 is an abundant number, since it is smaller than the sum of its proper divisors (34936158).

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

25620738 is a wasteful number, since it uses less digits than its factorization.

25620738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 25620738 is about 5061.6931949694. The cubic root of 25620738 is about 294.8020811669.

The spelling of 25620738 in words is "twenty-five million, six hundred twenty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 2297 3718 4594 5577 6891 11154 13782 25267 29861 50534 59722 75801 89583 151602 179166 328471 388193 656942 776386 985413 1164579 1970826 2329158 4270123 8540246 12810369 25620738