Search a number
-
+
42166665 = 32531167181
BaseRepresentation
bin1010000011011…
…0100110001001
32221100021210100
42200312212021
541243313130
64103440013
71021260612
oct240664611
987307710
1042166665
1121890492
1212156009
138974ab8
145858c09
153a7dc60
hex2836989

42166665 has 48 divisors (see below), whose sum is σ = 76317696. Its totient is φ = 21513600.

The previous prime is 42166627. The next prime is 42166669. The reversal of 42166665 is 56666124.

It is a happy number.

It is not a de Polignac number, because 42166665 - 218 = 41904521 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42166669) 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 47 ways as a sum of consecutive naturals, for example, 232875 + ... + 233055.

It is an arithmetic number, because the mean of its divisors is an integer number (1589952).

Almost surely, 242166665 is an apocalyptic number.

42166665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42166665 is a deficient number, since it is larger than the sum of its proper divisors (34151031).

42166665 is a wasteful number, since it uses less digits than its factorization.

42166665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 387 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 42166665 is about 6493.5864512610. The cubic root of 42166665 is about 348.0618449340.

The spelling of 42166665 in words is "forty-two million, one hundred sixty-six thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 31 45 93 155 167 181 279 465 501 543 835 905 1395 1503 1629 2505 2715 5177 5611 7515 8145 15531 16833 25885 28055 30227 46593 50499 77655 84165 90681 151135 232965 252495 272043 453405 937037 1360215 2811111 4685185 8433333 14055555 42166665