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26638056 = 2332894157
BaseRepresentation
bin110010110011…
…1011011101000
31212010100112200
41211213123220
523304404211
62350540200
7442263654
oct145473350
955110480
1026638056
1114044625
128b07660
135698983
143775a64
152512b56
hex19676e8

26638056 has 48 divisors (see below), whose sum is σ = 72972900. Its totient is φ = 8777472.

The previous prime is 26638009. The next prime is 26638063. The reversal of 26638056 is 65083662.

It can be written as a sum of positive squares in 2 ways, for example, as 25704900 + 933156 = 5070^2 + 966^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 26638056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4330 + ... + 8486.

Almost surely, 226638056 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 26638056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36486450).

26638056 is an abundant number, since it is smaller than the sum of its proper divisors (46334844).

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

26638056 is a wasteful number, since it uses less digits than its factorization.

26638056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 26638056 is about 5161.2068356151. The cubic root of 26638056 is about 298.6534315546.

The spelling of 26638056 in words is "twenty-six million, six hundred thirty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 4157 6408 8314 12471 16628 24942 33256 37413 49884 74826 99768 149652 299304 369973 739946 1109919 1479892 2219838 2959784 3329757 4439676 6659514 8879352 13319028 26638056