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26048628 = 22368933
BaseRepresentation
bin110001101011…
…1100001110100
31211000102000000
41203113201310
523132024003
62330151300
7434260344
oct143274164
954012000
1026048628
11137817a1
128882530
1355205b8
143660d24
1524481a3
hex18d7874

26048628 has 42 divisors (see below), whose sum is σ = 68354034. Its totient is φ = 8681904.

The previous prime is 26048623. The next prime is 26048657. The reversal of 26048628 is 82684062.

26048628 is a `hidden beast` number, since 26 + 0 + 4 + 8 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19607184 + 6441444 = 4428^2 + 2538^2 .

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 = 26048592 and 26048601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26048623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1551 + ... + 7382.

It is an arithmetic number, because the mean of its divisors is an integer number (1627477).

Almost surely, 226048628 is an apocalyptic number.

It is an amenable number.

26048628 is an abundant number, since it is smaller than the sum of its proper divisors (42305406).

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

26048628 is an equidigital number, since it uses as much as digits as its factorization.

26048628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8955 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26048628 is about 5103.7856538064. The cubic root of 26048628 is about 296.4341844557.

The spelling of 26048628 in words is "twenty-six million, forty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 8933 17866 26799 35732 53598 80397 107196 160794 241191 321588 482382 723573 964764 1447146 2170719 2894292 4341438 6512157 8682876 13024314 26048628