Search a number
-
+
26507264 = 2117432
BaseRepresentation
bin110010100011…
…1100000000000
31211212201010112
41211013200000
523241213024
62344050452
7441210440
oct145074000
954781115
1026507264
1113a65333
128a63a28
135651294
143740120
1524d900e
hex1947800

26507264 has 72 divisors (see below), whose sum is σ = 62014680. Its totient is φ = 11096064.

The previous prime is 26507227. The next prime is 26507291. The reversal of 26507264 is 46270562.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 26507264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 616427 + ... + 616469.

It is an arithmetic number, because the mean of its divisors is an integer number (861315).

Almost surely, 226507264 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 26507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31007340).

26507264 is an abundant number, since it is smaller than the sum of its proper divisors (35507416).

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

26507264 is an frugal number, since it uses more digits than its factorization.

26507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 26507264 is about 5148.5205642009. The cubic root of 26507264 is about 298.1638364582.

The spelling of 26507264 in words is "twenty-six million, five hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 512 602 688 896 1024 1204 1376 1792 1849 2048 2408 2752 3584 3698 4816 5504 7168 7396 9632 11008 12943 14336 14792 19264 22016 25886 29584 38528 44032 51772 59168 77056 88064 103544 118336 154112 207088 236672 308224 414176 473344 616448 828352 946688 1656704 1893376 3313408 3786752 6626816 13253632 26507264