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42443016 = 233721117193
BaseRepresentation
bin1010000111101…
…0000100001000
32221212022212120
42201322010020
541331134031
64113411240
71023521400
oct241720410
987768776
1042443016
1121a5a080
1212269b20
138a40815
1458cb800
153ad5a96
hex287a108

42443016 has 192 divisors, whose sum is σ = 143311680. Its totient is φ = 10321920.

The previous prime is 42442997. The next prime is 42443039. The reversal of 42443016 is 61034424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219816 + ... + 220008.

It is an arithmetic number, because the mean of its divisors is an integer number (746415).

Almost surely, 242443016 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 42443016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71655840).

42443016 is an abundant number, since it is smaller than the sum of its proper divisors (100868664).

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

42443016 is a wasteful number, since it uses less digits than its factorization.

42443016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

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

The square root of 42443016 is about 6514.8304659446. The cubic root of 42443016 is about 348.8205633095.

It can be divided in two parts, 4244 and 3016, that added together give a triangular number (7260 = T120).

The spelling of 42443016 in words is "forty-two million, four hundred forty-three thousand, sixteen".