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26568768 = 263711949
BaseRepresentation
bin110010101011…
…0100001000000
31211222211111110
41211112201000
523300200033
62345243320
7441554652
oct145264100
954884443
1026568768
1113aa7566
128a93540
135673285
1437586d2
1524ec363
hex1956840

26568768 has 56 divisors (see below), whose sum is σ = 71323200. Its totient is φ = 8727040.

The previous prime is 26568713. The next prime is 26568769. The reversal of 26568768 is 86786562.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (26568769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12658 + ... + 14606.

Almost surely, 226568768 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 26568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661600).

26568768 is an abundant number, since it is smaller than the sum of its proper divisors (44754432).

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

26568768 is a wasteful number, since it uses less digits than its factorization.

26568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2025 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 26568768 is about 5154.4900814727. The cubic root of 26568768 is about 298.3942651640.

The spelling of 26568768 in words is "twenty-six million, five hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 1949 2272 3408 3898 4544 5847 6816 7796 11694 13632 15592 23388 31184 46776 62368 93552 124736 138379 187104 276758 374208 415137 553516 830274 1107032 1660548 2214064 3321096 4428128 6642192 8856256 13284384 26568768