Search a number
-
+
25813984 = 2572101163
BaseRepresentation
bin110001001111…
…0001111100000
31210120111010111
41202132033200
523102021414
62321141104
7432262300
oct142361740
953514114
1025813984
1113631479
12878a794
13546a861
1435dd600
1523ed8c4
hex189e3e0

25813984 has 72 divisors (see below), whose sum is σ = 60070248. Its totient is φ = 10886400.

The previous prime is 25813937. The next prime is 25813999. The reversal of 25813984 is 48931852.

Its product of digits (69120) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158287 + ... + 158449.

It is an arithmetic number, because the mean of its divisors is an integer number (834309).

Almost surely, 225813984 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 25813984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30035124).

25813984 is an abundant number, since it is smaller than the sum of its proper divisors (34256264).

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

25813984 is a wasteful number, since it uses less digits than its factorization.

25813984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 25813984 is about 5080.7464018587. The cubic root of 25813984 is about 295.5414130916.

The spelling of 25813984 in words is "twenty-five million, eight hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 101 112 163 196 202 224 326 392 404 652 707 784 808 1141 1304 1414 1568 1616 2282 2608 2828 3232 4564 4949 5216 5656 7987 9128 9898 11312 15974 16463 18256 19796 22624 31948 32926 36512 39592 63896 65852 79184 115241 127792 131704 158368 230482 255584 263408 460964 526816 806687 921928 1613374 1843856 3226748 3687712 6453496 12906992 25813984