Search a number
-
+
26027064 = 23327113457
BaseRepresentation
bin110001101001…
…0010000111000
31210222022102100
41203102100320
523130331224
62325503400
7434140440
oct143222070
953868370
1026027064
1113767578
128871b60
13551383b
143657120
152441ac9
hex18d2438

26027064 has 96 divisors (see below), whose sum is σ = 81450720. Its totient is φ = 7354368.

The previous prime is 26027059. The next prime is 26027069. The reversal of 26027064 is 46072062.

It is an interprime number because it is at equal distance from previous prime (26027059) and next prime (26027069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26027069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56724 + ... + 57180.

It is an arithmetic number, because the mean of its divisors is an integer number (848445).

Almost surely, 226027064 is an apocalyptic number.

26027064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26027064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40725360).

26027064 is an abundant number, since it is smaller than the sum of its proper divisors (55423656).

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

26027064 is a wasteful number, since it uses less digits than its factorization.

26027064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26027064 is about 5101.6726668809. The cubic root of 26027064 is about 296.3523622129.

The spelling of 26027064 in words is "twenty-six million, twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 457 504 678 791 904 914 1017 1356 1371 1582 1828 2034 2373 2712 2742 3164 3199 3656 4068 4113 4746 5484 6328 6398 7119 8136 8226 9492 9597 10968 12796 14238 16452 18984 19194 25592 28476 28791 32904 38388 51641 56952 57582 76776 103282 115164 154923 206564 230328 309846 361487 413128 464769 619692 722974 929538 1084461 1239384 1445948 1859076 2168922 2891896 3253383 3718152 4337844 6506766 8675688 13013532 26027064