Search a number
-
+
26560352 = 2572131303
BaseRepresentation
bin110010101010…
…0011101100000
31211222101221202
41211110131200
523244412402
62345140332
7441521300
oct145243540
954871852
1026560352
1113aa1205
128a8a6a8
13566c4b0
143755600
1524e9b02
hex1954760

26560352 has 72 divisors (see below), whose sum is σ = 65557296. Its totient is φ = 10499328.

The previous prime is 26560349. The next prime is 26560363. The reversal of 26560352 is 25306562.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19733 + ... + 21035.

It is an arithmetic number, because the mean of its divisors is an integer number (910518).

Almost surely, 226560352 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 26560352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32778648).

26560352 is an abundant number, since it is smaller than the sum of its proper divisors (38996944).

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

26560352 is a wasteful number, since it uses less digits than its factorization.

26560352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 26560352 is about 5153.6736412000. The cubic root of 26560352 is about 298.3627550924.

The spelling of 26560352 in words is "twenty-six million, five hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1303 1456 1568 2548 2606 2912 5096 5212 9121 10192 10424 16939 18242 20384 20848 33878 36484 41696 63847 67756 72968 118573 127694 135512 145936 237146 255388 271024 291872 474292 510776 542048 830011 948584 1021552 1660022 1897168 2043104 3320044 3794336 6640088 13280176 26560352