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26131728 = 243777773
BaseRepresentation
bin110001110101…
…1110100010000
31211011121222210
41203223310100
523142203403
62332032120
7435054540
oct143536420
954147883
1026131728
1113829177
128902640
13554c37c
143683320
152462b03
hex18ebd10

26131728 has 40 divisors (see below), whose sum is σ = 77151808. Its totient is φ = 7466112.

The previous prime is 26131727. The next prime is 26131733. The reversal of 26131728 is 82713162.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26131695 and 26131704.

It is not an unprimeable number, because it can be changed into a prime (26131723) 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, 38551 + ... + 39222.

Almost surely, 226131728 is an apocalyptic number.

26131728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26131728 is an abundant number, since it is smaller than the sum of its proper divisors (51020080).

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

26131728 is a wasteful number, since it uses less digits than its factorization.

26131728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77791 (or 77785 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 26131728 is about 5111.9201871704. The cubic root of 26131728 is about 296.7490766861.

The spelling of 26131728 in words is "twenty-six million, one hundred thirty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 77773 155546 233319 311092 466638 544411 622184 933276 1088822 1244368 1633233 1866552 2177644 3266466 3733104 4355288 6532932 8710576 13065864 26131728