Search a number
-
+
26828244 = 22321759743
BaseRepresentation
bin110011001010…
…1110111010100
31212111000102200
41212111313110
523332000434
62355004500
7444015312
oct146256724
955430380
1026828244
1114164503
128b99730
135734401
1437c50b2
15254e199
hex1995dd4

26828244 has 72 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 8262912.

The previous prime is 26828239. The next prime is 26828257. The reversal of 26828244 is 44282862.

It is a happy number.

It is a super-2 number, since 2×268282442 = 1439509352247072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 26828199 and 26828208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35737 + ... + 36479.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 226828244 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 26828244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

26828244 is an abundant number, since it is smaller than the sum of its proper divisors (46292076).

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

26828244 is a wasteful number, since it uses less digits than its factorization.

26828244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 824 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 26828244 is about 5179.5988261640. The cubic root of 26828244 is about 299.3625129939.

It can be divided in two parts, 26828 and 244, that added together give a palindrome (27072).

The spelling of 26828244 in words is "twenty-six million, eight hundred twenty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 177 204 236 306 354 531 612 708 743 1003 1062 1486 2006 2124 2229 2972 3009 4012 4458 6018 6687 8916 9027 12036 12631 13374 18054 25262 26748 36108 37893 43837 50524 75786 87674 113679 131511 151572 175348 227358 263022 394533 454716 526044 745229 789066 1490458 1578132 2235687 2980916 4471374 6707061 8942748 13414122 26828244