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26990656 = 267115477
BaseRepresentation
bin110011011110…
…1100001000000
31212210021012221
41212331201000
523402200111
62402300424
7445262650
oct146754100
955707187
1026990656
1114265530
129057714
135790304
143828360
152582371
hex19bd840

26990656 has 56 divisors (see below), whose sum is σ = 66787776. Its totient is φ = 10513920.

The previous prime is 26990651. The next prime is 26990657. The reversal of 26990656 is 65609962.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×269906562 = 1456991022620672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26990651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2190 + ... + 7666.

Almost surely, 226990656 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 26990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33393888).

26990656 is an abundant number, since it is smaller than the sum of its proper divisors (39797120).

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

26990656 is a wasteful number, since it uses less digits than its factorization.

26990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 26990656 is about 5195.2532180828. The cubic root of 26990656 is about 299.9653885996.

It can be divided in two parts, 269906 and 56, that added together give a palindrome (269962).

The spelling of 26990656 in words is "twenty-six million, nine hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 5477 10954 21908 38339 43816 60247 76678 87632 120494 153356 175264 240988 306712 350528 421729 481976 613424 843458 963952 1226848 1686916 1927904 2453696 3373832 3855808 6747664 13495328 26990656