Search a number
-
+
42023331 = 327313613
BaseRepresentation
bin1010000001001…
…1100110100011
32221002000011200
42200103212203
541224221311
64100412243
71020123000
oct240234643
987060150
1042023331
11217a2829
12120a7083
13892479c
14581c8a7
153a51556
hex28139a3

42023331 has 24 divisors (see below), whose sum is σ = 70792800. Its totient is φ = 24011568.

The previous prime is 42023309. The next prime is 42023347. The reversal of 42023331 is 13332024.

It is not a de Polignac number, because 42023331 - 210 = 42022307 is a prime.

It is a super-2 number, since 2×420233312 = 3531920696671122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42023351) 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, 3720 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (2949700).

Almost surely, 242023331 is an apocalyptic number.

42023331 is a deficient number, since it is larger than the sum of its proper divisors (28769469).

42023331 is a wasteful number, since it uses less digits than its factorization.

42023331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13640 (or 13623 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 42023331 is about 6482.5404742277. The cubic root of 42023331 is about 347.6670170009.

Adding to 42023331 its reverse (13332024), we get a palindrome (55355355).

The spelling of 42023331 in words is "forty-two million, twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 3087 13613 40839 95291 122517 285873 667037 857619 2001111 4669259 6003333 14007777 42023331