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26425728 = 2732729113
BaseRepresentation
bin110010011001…
…1100110000000
31211201120021200
41210303212000
523231110403
62342221200
7440420640
oct144634600
954646250
1026425728
1113a0a04a
128a24800
135623134
14371c520
1524beca3
hex1933980

26425728 has 192 divisors, whose sum is σ = 90698400. Its totient is φ = 7225344.

The previous prime is 26425717. The next prime is 26425739. The reversal of 26425728 is 82752462.

26425728 is a `hidden beast` number, since 2 + 642 + 5 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (26425717) and next prime (26425739).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26425692 and 26425701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233800 + ... + 233912.

Almost surely, 226425728 is an apocalyptic number.

26425728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45349200).

26425728 is an abundant number, since it is smaller than the sum of its proper divisors (64272672).

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

26425728 is a wasteful number, since it uses less digits than its factorization.

26425728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 26425728 is about 5140.5960743867. The cubic root of 26425728 is about 297.8578064317.

The spelling of 26425728 in words is "twenty-six million, four hundred twenty-five thousand, seven hundred twenty-eight".