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18041257 = 132106753
BaseRepresentation
bin100010011010…
…0100110101001
31020221120221201
41010310212221
514104310012
61442404201
7306230263
oct104644651
936846851
1018041257
11a202733
126060661
133978a00
142578b33
1518b5857
hex11349a9

18041257 has 6 divisors (see below), whose sum is σ = 19535982. Its totient is φ = 16653312.

The previous prime is 18041251. The next prime is 18041263. The reversal of 18041257 is 75214081.

It is an interprime number because it is at equal distance from previous prime (18041251) and next prime (18041263).

It can be written as a sum of positive squares in 3 ways, for example, as 156816 + 17884441 = 396^2 + 4229^2 .

It is not a de Polignac number, because 18041257 - 23 = 18041249 is a prime.

It is a super-4 number, since 4×180412574 (a number of 30 digits) contains 4444 as substring.

It is the 4248-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18041251) by changing a digit.

It is a nontrivial repunit in base 4247.

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 5 ways as a sum of consecutive naturals, for example, 53208 + ... + 53545.

It is an arithmetic number, because the mean of its divisors is an integer number (3255997).

Almost surely, 218041257 is an apocalyptic number.

It is an amenable number.

18041257 is a deficient number, since it is larger than the sum of its proper divisors (1494725).

18041257 is a wasteful number, since it uses less digits than its factorization.

18041257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106779 (or 106766 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 18041257 is about 4247.5000882872. The cubic root of 18041257 is about 262.2742161321.

The spelling of 18041257 in words is "eighteen million, forty-one thousand, two hundred fifty-seven".

Divisors: 1 13 169 106753 1387789 18041257