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26640564 = 22317433037
BaseRepresentation
bin110010110100…
…0000010110100
31212010110222120
41211220002310
523304444224
62350555540
7442304166
oct145500264
955113876
1026640564
11140464a5
128b08bb0
135699b62
143776936
152513779
hex19680b4

26640564 has 48 divisors (see below), whose sum is σ = 67370688. Its totient is φ = 8160768.

The previous prime is 26640533. The next prime is 26640569. The reversal of 26640564 is 46504662.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26640569) 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, 7254 + ... + 10290.

It is an arithmetic number, because the mean of its divisors is an integer number (1403556).

Almost surely, 226640564 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 26640564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33685344).

26640564 is an abundant number, since it is smaller than the sum of its proper divisors (40730124).

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

26640564 is a wasteful number, since it uses less digits than its factorization.

26640564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 26640564 is about 5161.4497963266. The cubic root of 26640564 is about 298.6628041017.

The spelling of 26640564 in words is "twenty-six million, six hundred forty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2193 2924 3037 4386 6074 8772 9111 12148 18222 36444 51629 103258 130591 154887 206516 261182 309774 391773 522364 619548 783546 1567092 2220047 4440094 6660141 8880188 13320282 26640564