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42013241 = 37230689
BaseRepresentation
bin1010000001000…
…1001000111001
32221001111022222
42200101020321
541223410431
64100253425
71020051404
oct240211071
987044288
1042013241
1121796196
12120a1275
13892000a
145818d3b
153a4d57b
hex2811239

42013241 has 6 divisors (see below), whose sum is σ = 43180830. Its totient is φ = 40876416.

The previous prime is 42013219. The next prime is 42013243. The reversal of 42013241 is 14231024.

It can be written as a sum of positive squares in 3 ways, for example, as 36348841 + 5664400 = 6029^2 + 2380^2 .

It is a de Polignac number, because none of the positive numbers 2k-42013241 is a prime.

It is a super-2 number, since 2×420132412 = 3530224838648162, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42013243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13976 + ... + 16713.

It is an arithmetic number, because the mean of its divisors is an integer number (7196805).

Almost surely, 242013241 is an apocalyptic number.

It is an amenable number.

42013241 is a deficient number, since it is larger than the sum of its proper divisors (1167589).

42013241 is an equidigital number, since it uses as much as digits as its factorization.

42013241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30763 (or 30726 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42013241 is about 6481.7621832338. The cubic root of 42013241 is about 347.6391892767.

Adding to 42013241 its reverse (14231024), we get a palindrome (56244265).

The spelling of 42013241 in words is "forty-two million, thirteen thousand, two hundred forty-one".

Divisors: 1 37 1369 30689 1135493 42013241