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42666444 = 22321185179
BaseRepresentation
bin1010001011000…
…0100111001100
32222021200100200
42202300213030
541410311234
64122253500
71025441652
oct242604714
988250320
1042666444
11220a1a27
1212357290
138abb422
145948dd2
153b2bd99
hex28b09cc

42666444 has 18 divisors (see below), whose sum is σ = 107851380. Its totient is φ = 14222136.

The previous prime is 42666443. The next prime is 42666451. The reversal of 42666444 is 44466624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1185179 = 42666444 / (4 + 2 + 6 + 6 + 6 + 4 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42666399 and 42666408.

It is not an unprimeable number, because it can be changed into a prime (42666443) 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 5 ways as a sum of consecutive naturals, for example, 592554 + ... + 592625.

Almost surely, 242666444 is an apocalyptic number.

It is an amenable number.

42666444 is an abundant number, since it is smaller than the sum of its proper divisors (65184936).

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

42666444 is a wasteful number, since it uses less digits than its factorization.

42666444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185189 (or 1185184 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 42666444 is about 6531.9556030334. The cubic root of 42666444 is about 349.4315780271.

The spelling of 42666444 in words is "forty-two million, six hundred sixty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1185179 2370358 3555537 4740716 7111074 10666611 14222148 21333222 42666444