Search a number
-
+
26856252 = 2233435783
BaseRepresentation
bin110011001110…
…0101100111100
31212112102212000
41212130230330
523333400002
62355342300
7444163053
oct146345474
955472760
1026856252
1114183555
128bb1990
135744097
1437d139a
15255761c
hex199cb3c

26856252 has 48 divisors (see below), whose sum is σ = 71258880. Its totient is φ = 8742384.

The previous prime is 26856239. The next prime is 26856257. The reversal of 26856252 is 25265862.

26856252 is a `hidden beast` number, since 26 + 8 + 5 + 625 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26856257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753 + ... + 7535.

It is an arithmetic number, because the mean of its divisors is an integer number (1484560).

Almost surely, 226856252 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 26856252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35629440).

26856252 is an abundant number, since it is smaller than the sum of its proper divisors (44402628).

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

26856252 is a wasteful number, since it uses less digits than its factorization.

26856252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5831 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 26856252 is about 5182.3018051827. The cubic root of 26856252 is about 299.4666523629.

The spelling of 26856252 in words is "twenty-six million, eight hundred fifty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 5783 11566 17349 23132 34698 52047 69396 104094 156141 208188 248669 312282 497338 624564 746007 994676 1492014 2238021 2984028 4476042 6714063 8952084 13428126 26856252