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26422528 = 28112853
BaseRepresentation
bin110010011001…
…0110100000000
31211201101220011
41210302310000
523231010103
62342154304
7440405416
oct144626400
954641804
1026422528
1113a07700
128a22994
135621842
14371b2b6
1524bdd6d
hex1932d00

26422528 has 54 divisors (see below), whose sum is σ = 58040402. Its totient is φ = 11996160.

The previous prime is 26422523. The next prime is 26422537. The reversal of 26422528 is 82522462.

It can be written as a sum of positive squares in only one way, i.e., 16386304 + 10036224 = 4048^2 + 3168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26422528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26422523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30550 + ... + 31402.

Almost surely, 226422528 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 26422528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29020201).

26422528 is an abundant number, since it is smaller than the sum of its proper divisors (31617874).

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

26422528 is an equidigital number, since it uses as much as digits as its factorization.

26422528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 866 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 26422528 is about 5140.2848170116. The cubic root of 26422528 is about 297.8457830044.

It can be divided in two parts, 2 and 6422528, that multiplied together give a square (12845056 = 35842).

The spelling of 26422528 in words is "twenty-six million, four hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 853 968 1408 1706 1936 2816 3412 3872 6824 7744 9383 13648 15488 18766 27296 30976 37532 54592 75064 103213 109184 150128 206426 218368 300256 412852 600512 825704 1201024 1651408 2402048 3302816 6605632 13211264 26422528