Search a number
-
+
42685713 = 3272432251
BaseRepresentation
bin1010001011010…
…1010100010001
32222022122210100
42202311110101
541411420323
64122523013
71025552100
oct242652421
988278710
1042685713
1122105454
1212366469
138ac7125
145952037
153b32943
hex28b5511

42685713 has 36 divisors (see below), whose sum is σ = 73424208. Its totient is φ = 23814000.

The previous prime is 42685711. The next prime is 42685717. The reversal of 42685713 is 31758624.

It is not a de Polignac number, because 42685713 - 21 = 42685711 is a prime.

It is a super-3 number, since 3×426857133 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42685711) 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 35 ways as a sum of consecutive naturals, for example, 17838 + ... + 20088.

Almost surely, 242685713 is an apocalyptic number.

42685713 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

42685713 is a deficient number, since it is larger than the sum of its proper divisors (30738495).

42685713 is a wasteful number, since it uses less digits than its factorization.

42685713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2304 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 42685713 is about 6533.4304159454. The cubic root of 42685713 is about 349.4841734868.

The spelling of 42685713 in words is "forty-two million, six hundred eighty-five thousand, seven hundred thirteen".

Divisors: 1 3 7 9 21 43 49 63 129 147 301 387 441 903 2107 2251 2709 6321 6753 15757 18963 20259 47271 96793 110299 141813 290379 330897 677551 871137 992691 2032653 4742857 6097959 14228571 42685713