Search a number
-
+
42463161 = 32131737577
BaseRepresentation
bin1010000111111…
…0111110111001
32221220100111200
42201332332321
541332310121
64114044413
71023634206
oct241767671
987810450
1042463161
1121a73224
1212279709
138a49a40
1458d4cad
153adba26
hex287efb9

42463161 has 48 divisors (see below), whose sum is σ = 71954064. Its totient is φ = 23887872.

The previous prime is 42463159. The next prime is 42463199. The reversal of 42463161 is 16136424.

42463161 is a `hidden beast` number, since 4 + 24 + 631 + 6 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10890000 + 31573161 = 3300^2 + 5619^2 .

It is not a de Polignac number, because 42463161 - 21 = 42463159 is a prime.

It is a super-2 number, since 2×424631612 = 3606240084223842, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42463111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73305 + ... + 73881.

It is an arithmetic number, because the mean of its divisors is an integer number (1499043).

Almost surely, 242463161 is an apocalyptic number.

It is an amenable number.

42463161 is a deficient number, since it is larger than the sum of its proper divisors (29490903).

42463161 is a wasteful number, since it uses less digits than its factorization.

42463161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 647 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42463161 is about 6516.3763703457. The cubic root of 42463161 is about 348.8757422250.

Adding to 42463161 its reverse (16136424), we get a palindrome (58599585).

It can be divided in two parts, 42463 and 161, that added together give a palindrome (42624).

The spelling of 42463161 in words is "forty-two million, four hundred sixty-three thousand, one hundred sixty-one".

Divisors: 1 3 9 13 17 37 39 51 111 117 153 221 333 481 577 629 663 1443 1731 1887 1989 4329 5193 5661 7501 8177 9809 21349 22503 24531 29427 64047 67509 73593 88281 127517 192141 277537 362933 382551 832611 1088799 1147653 2497833 3266397 4718129 14154387 42463161