Search a number
-
+
26886444 = 223131947193
BaseRepresentation
bin110011010010…
…0000100101100
31212120222021020
41212210010230
523340331234
62400134140
7444350064
oct146440454
955528236
1026886444
11141a4202
129007350
135754a50
1437dc3a4
152561549
hex19a412c

26886444 has 96 divisors (see below), whose sum is σ = 73006080. Its totient is φ = 7630848.

The previous prime is 26886443. The next prime is 26886479. The reversal of 26886444 is 44468862.

It is a junction number, because it is equal to n+sod(n) for n = 26886396 and 26886405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26886443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139212 + ... + 139404.

It is an arithmetic number, because the mean of its divisors is an integer number (760480).

Almost surely, 226886444 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 26886444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36503040).

26886444 is an abundant number, since it is smaller than the sum of its proper divisors (46119636).

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

26886444 is a wasteful number, since it uses less digits than its factorization.

26886444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 26886444 is about 5185.2139782269. The cubic root of 26886444 is about 299.5788312218.

The spelling of 26886444 in words is "twenty-six million, eight hundred eighty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 47 52 57 76 78 94 114 141 156 188 193 228 247 282 386 494 564 579 611 741 772 893 988 1158 1222 1482 1786 1833 2316 2444 2509 2679 2964 3572 3666 3667 5018 5358 7332 7334 7527 9071 10036 10716 11001 11609 14668 15054 18142 22002 23218 27213 30108 34827 36284 44004 46436 47671 54426 69654 95342 108852 117923 139308 143013 172349 190684 235846 286026 344698 353769 471692 517047 572052 689396 707538 1034094 1415076 2068188 2240537 4481074 6721611 8962148 13443222 26886444