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26053248 = 2731317307
BaseRepresentation
bin110001101100…
…0101010000000
31211000122100010
41203120222000
523132200443
62330224520
7434306664
oct143305200
954018303
1026053248
1113785211
128885140
135522730
1436628a4
152449733
hex18d8a80

26053248 has 128 divisors (see below), whose sum is σ = 79168320. Its totient is φ = 7520256.

The previous prime is 26053243. The next prime is 26053249. The reversal of 26053248 is 84235062.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (26053241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84711 + ... + 85017.

Almost surely, 226053248 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 26053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584160).

26053248 is an abundant number, since it is smaller than the sum of its proper divisors (53115072).

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

26053248 is a wasteful number, since it uses less digits than its factorization.

26053248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 26053248 is about 5104.2382389540. The cubic root of 26053248 is about 296.4517086669.

The spelling of 26053248 in words is "twenty-six million, fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 307 312 384 408 416 442 544 614 624 663 816 832 884 921 1088 1228 1248 1326 1632 1664 1768 1842 2176 2456 2496 2652 3264 3536 3684 3991 4912 4992 5219 5304 6528 7072 7368 7982 9824 10438 10608 11973 14144 14736 15657 15964 19648 20876 21216 23946 28288 29472 31314 31928 39296 41752 42432 47892 58944 62628 63856 67847 83504 84864 95784 117888 125256 127712 135694 167008 191568 203541 250512 255424 271388 334016 383136 407082 501024 510848 542776 668032 766272 814164 1002048 1085552 1532544 1628328 2004096 2171104 3256656 4342208 6513312 8684416 13026624 26053248