Search a number
-
+
26431041 = 3721313831
BaseRepresentation
bin110010011010…
…0111001000001
31211201211120110
41210310321001
523231243131
62342301533
7440442300
oct144647101
954654513
1026431041
1113a1303a
128a278a9
135625690
143720437
1524c1646
hex1934e41

26431041 has 24 divisors (see below), whose sum is σ = 44151744. Its totient is φ = 13940640.

The previous prime is 26431001. The next prime is 26431049. The reversal of 26431041 is 14013462.

It is not a de Polignac number, because 26431041 - 214 = 26414657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 26430999 and 26431017.

It is not an unprimeable number, because it can be changed into a prime (26431049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5005 + ... + 8826.

It is an arithmetic number, because the mean of its divisors is an integer number (1839656).

Almost surely, 226431041 is an apocalyptic number.

26431041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

26431041 is a deficient number, since it is larger than the sum of its proper divisors (17720703).

26431041 is a wasteful number, since it uses less digits than its factorization.

26431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13861 (or 13854 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 26431041 is about 5141.1128172799. The cubic root of 26431041 is about 297.8777669348.

The spelling of 26431041 in words is "twenty-six million, four hundred thirty-one thousand, forty-one".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1911 13831 41493 96817 179803 290451 539409 677719 1258621 2033157 3775863 8810347 26431041