Search a number
-
+
26977636 = 2274532
BaseRepresentation
bin110011011101…
…0010101100100
31212202121100201
41212322111210
523401241021
62402120244
7445210000
oct146722544
955677321
1026977636
1114256774
129050084
1357873ca
143823700
15257d591
hex19ba564

26977636 has 45 divisors (see below), whose sum is σ = 56134841. Its totient is φ = 11343696.

The previous prime is 26977619. The next prime is 26977637. The reversal of 26977636 is 63677962.

The square root of 26977636 is 5194.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19448100 + 7529536 = 4410^2 + 2744^2 .

It is not an unprimeable number, because it can be changed into a prime (26977637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 508986 + ... + 509038.

Almost surely, 226977636 is an apocalyptic number.

26977636 is the 5194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26977636

26977636 is an abundant number, since it is smaller than the sum of its proper divisors (29157205).

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

26977636 is an frugal number, since it uses more digits than its factorization.

26977636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 62 counting only the distinct ones).

The product of its digits is 571536, while the sum is 46.

The cubic root of 26977636 is about 299.9171474907.

Multiplying 26977636 by its product of digits (571536), we get a square (15418690168896 = 39266642).

The spelling of 26977636 in words is "twenty-six million, nine hundred seventy-seven thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 343 371 686 742 1372 1484 2401 2597 2809 4802 5194 5618 9604 10388 11236 18179 19663 36358 39326 72716 78652 127253 137641 254506 275282 509012 550564 963487 1926974 3853948 6744409 13488818 26977636