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42665724 = 22331792207
BaseRepresentation
bin1010001011000…
…0011011111100
32222021122101000
42202300123330
541410300344
64122250300
71025436603
oct242603374
988248330
1042665724
11220a1432
1212356990
138abacba
145948a3a
153b2ba69
hex28b06fc

42665724 has 48 divisors (see below), whose sum is σ = 111283200. Its totient is φ = 14136048.

The previous prime is 42665723. The next prime is 42665743. The reversal of 42665724 is 42756624.

42665724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42665723) 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 15 ways as a sum of consecutive naturals, for example, 18229 + ... + 20435.

It is an arithmetic number, because the mean of its divisors is an integer number (2318400).

Almost surely, 242665724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42665724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55641600).

42665724 is an abundant number, since it is smaller than the sum of its proper divisors (68617476).

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

42665724 is a wasteful number, since it uses less digits than its factorization.

42665724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2391 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42665724 is about 6531.9004891379. The cubic root of 42665724 is about 349.4296124531.

The spelling of 42665724 in words is "forty-two million, six hundred sixty-five thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 358 537 716 1074 1611 2148 2207 3222 4414 4833 6444 6621 8828 9666 13242 19332 19863 26484 39726 59589 79452 119178 238356 395053 790106 1185159 1580212 2370318 3555477 4740636 7110954 10666431 14221908 21332862 42665724