Search a number
-
+
20826528 = 253593677
BaseRepresentation
bin100111101110…
…0100110100000
31110012002121220
41033130212200
520312422103
62022215040
7342010512
oct117344640
943162556
1020826528
1110835308
126b84480
1344126b8
142aa1bb2
151c65c53
hex13dc9a0

20826528 has 48 divisors (see below), whose sum is σ = 55611360. Its totient is φ = 6822656.

The previous prime is 20826517. The next prime is 20826529. The reversal of 20826528 is 82562802.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (20826529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3826 + ... + 7502.

It is an arithmetic number, because the mean of its divisors is an integer number (1158570).

Almost surely, 220826528 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 20826528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27805680).

20826528 is an abundant number, since it is smaller than the sum of its proper divisors (34784832).

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

20826528 is a wasteful number, since it uses less digits than its factorization.

20826528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 20826528 is about 4563.6090980714. The cubic root of 20826528 is about 275.1306398576.

The spelling of 20826528 in words is "twenty million, eight hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 3677 5664 7354 11031 14708 22062 29416 44124 58832 88248 117664 176496 216943 352992 433886 650829 867772 1301658 1735544 2603316 3471088 5206632 6942176 10413264 20826528