Search a number
-
+
26352768 = 273135279
BaseRepresentation
bin110010010000…
…1110010000000
31211120212012110
41210201302000
523221242033
62340455320
7436665141
oct144416200
954525173
1026352768
111396a252
1289aa540
1355c8b70
1436ddac8
1524a8363
hex1921c80

26352768 has 64 divisors (see below), whose sum is σ = 75398400. Its totient is φ = 8107008.

The previous prime is 26352757. The next prime is 26352773. The reversal of 26352768 is 86725362.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2353 + ... + 7631.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 226352768 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 26352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699200).

26352768 is an abundant number, since it is smaller than the sum of its proper divisors (49045632).

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

26352768 is a wasteful number, since it uses less digits than its factorization.

26352768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5297 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 26352768 is about 5133.4947160779. The cubic root of 26352768 is about 297.5834306881.

The spelling of 26352768 in words is "twenty-six million, three hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 5279 10558 15837 21116 31674 42232 63348 68627 84464 126696 137254 168928 205881 253392 274508 337856 411762 506784 549016 675712 823524 1013568 1098032 1647048 2027136 2196064 3294096 4392128 6588192 8784256 13176384 26352768