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42866016 = 2531014421
BaseRepresentation
bin1010001110000…
…1010101100000
32222122211010020
42203201111200
541433203031
64130433440
71030232544
oct243412540
988584106
1042866016
1122218966
1212432880
138b5b20b
14599ba24
153b6b096
hex28e1560

42866016 has 48 divisors (see below), whose sum is σ = 113663088. Its totient is φ = 14144000.

The previous prime is 42866011. The next prime is 42866041. The reversal of 42866016 is 61066824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42866011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7486 + ... + 11906.

It is an arithmetic number, because the mean of its divisors is an integer number (2367981).

Almost surely, 242866016 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 42866016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56831544).

42866016 is an abundant number, since it is smaller than the sum of its proper divisors (70797072).

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

42866016 is a wasteful number, since it uses less digits than its factorization.

42866016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42866016 is about 6547.2143694857. The cubic root of 42866016 is about 349.9755520338.

The spelling of 42866016 in words is "forty-two million, eight hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4421 4848 8842 9696 13263 17684 26526 35368 53052 70736 106104 141472 212208 424416 446521 893042 1339563 1786084 2679126 3572168 5358252 7144336 10716504 14288672 21433008 42866016