Search a number
-
+
42166755 = 3254719937
BaseRepresentation
bin1010000011011…
…0100111100011
32221100021220200
42200312213203
541243314010
64103440243
71021261101
oct240664743
987307820
1042166755
1121890564
1212156083
138974b57
145858c71
153a7dcc0
hex28369e3

42166755 has 24 divisors (see below), whose sum is σ = 74647872. Its totient is φ = 22009344.

The previous prime is 42166753. The next prime is 42166763. The reversal of 42166755 is 55766124.

42166755 = 1343 + 1353 + ... + 1483.

It is a happy number.

42166755 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42166755 - 21 = 42166753 is a prime.

It is a super-3 number, since 3×421667553 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42166753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7854 + ... + 12083.

It is an arithmetic number, because the mean of its divisors is an integer number (3110328).

Almost surely, 242166755 is an apocalyptic number.

42166755 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42166755 is a deficient number, since it is larger than the sum of its proper divisors (32481117).

42166755 is a wasteful number, since it uses less digits than its factorization.

42166755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19995 (or 19992 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 42166755 is about 6493.5933811719. The cubic root of 42166755 is about 348.0620925668.

It can be divided in two parts, 421 and 66755, that added together give a palindrome (67176).

The spelling of 42166755 in words is "forty-two million, one hundred sixty-six thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 45 47 141 235 423 705 2115 19937 59811 99685 179433 299055 897165 937039 2811117 4685195 8433351 14055585 42166755