Search a number
-
+
42242031 = 32131792017
BaseRepresentation
bin1010000100100…
…0111111101111
32221111010011200
42201020333233
541303221111
64105220543
71022023416
oct241107757
987433150
1042242031
1121932077
1212191753
1389a01b0
14587847d
153a96256
hex2848fef

42242031 has 24 divisors (see below), whose sum is σ = 66109680. Its totient is φ = 25837056.

The previous prime is 42242029. The next prime is 42242033. The reversal of 42242031 is 13024224.

It is an interprime number because it is at equal distance from previous prime (42242029) and next prime (42242033).

It is not a de Polignac number, because 42242031 - 21 = 42242029 is a prime.

It is a super-2 number, since 2×422420312 = 3568778366009922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42241995 and 42242013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42242033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19935 + ... + 21951.

It is an arithmetic number, because the mean of its divisors is an integer number (2754570).

Almost surely, 242242031 is an apocalyptic number.

42242031 is a deficient number, since it is larger than the sum of its proper divisors (23867649).

42242031 is a wasteful number, since it uses less digits than its factorization.

42242031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42242031 is about 6499.3869710920. The cubic root of 42242031 is about 348.2690893377.

Adding to 42242031 its reverse (13024224), we get a palindrome (55266255).

The spelling of 42242031 in words is "forty-two million, two hundred forty-two thousand, thirty-one".

Divisors: 1 3 9 13 39 117 179 537 1611 2017 2327 6051 6981 18153 20943 26221 78663 235989 361043 1083129 3249387 4693559 14080677 42242031