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42682716 = 22321797719
BaseRepresentation
bin1010001011010…
…0100101011100
32222022111200100
42202310211130
541411321331
64122501100
71025540256
oct242644534
988274610
1042682716
112210317a
1212364790
138ac595b
145950cd6
153b31ae6
hex28b495c

42682716 has 72 divisors (see below), whose sum is σ = 115577280. Its totient is φ = 13234176.

The previous prime is 42682711. The next prime is 42682769. The reversal of 42682716 is 61728624.

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 (42682711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59005 + ... + 59723.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 242682716 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 42682716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

42682716 is an abundant number, since it is smaller than the sum of its proper divisors (72894564).

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

42682716 is a wasteful number, since it uses less digits than its factorization.

42682716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 838 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 42682716 is about 6533.2010530826. The cubic root of 42682716 is about 349.4759941023.

The spelling of 42682716 in words is "forty-two million, six hundred eighty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 153 194 204 291 306 388 582 612 719 873 1164 1438 1649 1746 2157 2876 3298 3492 4314 4947 6471 6596 8628 9894 12223 12942 14841 19788 24446 25884 29682 36669 48892 59364 69743 73338 110007 139486 146676 209229 220014 278972 418458 440028 627687 836916 1185631 1255374 2371262 2510748 3556893 4742524 7113786 10670679 14227572 21341358 42682716