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42240066 = 2311292761
BaseRepresentation
bin1010000100100…
…0100001000010
32221111000110220
42201020201002
541303140231
64105203510
71022014611
oct241104102
987430426
1042240066
1121930650
1212190596
13899c32b
145877878
153a95896
hex2848842

42240066 has 48 divisors (see below), whose sum is σ = 95573088. Its totient is φ = 12342400.

The previous prime is 42240049. The next prime is 42240089. The reversal of 42240066 is 66004224.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55126 + ... + 55886.

It is an arithmetic number, because the mean of its divisors is an integer number (1991106).

Almost surely, 242240066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47786544).

42240066 is an abundant number, since it is smaller than the sum of its proper divisors (53333022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42240066 is a wasteful number, since it uses less digits than its factorization.

42240066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42240066 is about 6499.2358012308. The cubic root of 42240066 is about 348.2636890341.

It can be divided in two parts, 422400 and 66, that multiplied together give a square (27878400 = 52802).

The spelling of 42240066 in words is "forty-two million, two hundred forty thousand, sixty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 761 841 957 1522 1682 1914 2283 2523 4566 5046 8371 9251 16742 18502 22069 25113 27753 44138 50226 55506 66207 132414 242759 485518 640001 728277 1280002 1456554 1920003 3840006 7040011 14080022 21120033 42240066