Search a number
-
+
42345261 = 347247227
BaseRepresentation
bin1010000110001…
…0001100101101
32221200100210000
42201202030231
541320022021
64111334513
71022633400
oct241421455
987610700
1042345261
11219a2692
1212221439
138a0818a
1458a3d37
153ab6b26
hex286232d

42345261 has 60 divisors (see below), whose sum is σ = 75480768. Its totient is φ = 23578128.

The previous prime is 42345223. The next prime is 42345263. The reversal of 42345261 is 16254324.

It is not a de Polignac number, because 42345261 - 26 = 42345197 is a prime.

It is a super-2 number, since 2×423452612 = 3586242258316242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42345263) 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 59 ways as a sum of consecutive naturals, for example, 186430 + ... + 186656.

Almost surely, 242345261 is an apocalyptic number.

It is an amenable number.

42345261 is a deficient number, since it is larger than the sum of its proper divisors (33135507).

42345261 is a wasteful number, since it uses less digits than its factorization.

42345261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42345261 is about 6507.3236434036. The cubic root of 42345261 is about 348.5525555986.

Adding to 42345261 its reverse (16254324), we get a palindrome (58599585).

The spelling of 42345261 in words is "forty-two million, three hundred forty-five thousand, two hundred sixty-one".

Divisors: 1 3 7 9 21 27 47 49 63 81 141 147 189 227 329 423 441 567 681 987 1269 1323 1589 2043 2303 2961 3807 3969 4767 6129 6909 8883 10669 11123 14301 18387 20727 26649 32007 33369 42903 62181 74683 96021 100107 128709 186543 224049 288063 300321 522781 672147 864189 900963 1568343 2016441 4705029 6049323 14115087 42345261