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26264628 = 22331321439
BaseRepresentation
bin110010000110…
…0010000110100
31211102101022000
41210030100310
523210432003
62334535300
7436150155
oct144142064
954371260
1026264628
111390a005
128967530
135597a00
1436b992c
15248c1a3
hex190c434

26264628 has 72 divisors (see below), whose sum is σ = 73785600. Its totient is φ = 8075808.

The previous prime is 26264599. The next prime is 26264639. The reversal of 26264628 is 82646262.

26264628 is a `hidden beast` number, since 2 + 6 + 2 + 646 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26264592 and 26264601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17533 + ... + 18971.

It is an arithmetic number, because the mean of its divisors is an integer number (1024800).

Almost surely, 226264628 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 26264628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36892800).

26264628 is an abundant number, since it is smaller than the sum of its proper divisors (47520972).

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

26264628 is a wasteful number, since it uses less digits than its factorization.

26264628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1457 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 26264628 is about 5124.9027307843. The cubic root of 26264628 is about 297.2512922696.

The spelling of 26264628 in words is "twenty-six million, two hundred sixty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1439 1521 2028 2878 3042 4317 4563 5756 6084 8634 9126 12951 17268 18252 18707 25902 37414 38853 51804 56121 74828 77706 112242 155412 168363 224484 243191 336726 486382 505089 673452 729573 972764 1010178 1459146 2020356 2188719 2918292 4377438 6566157 8754876 13132314 26264628