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42739662 = 2372373929
BaseRepresentation
bin1010001100001…
…0011111001110
32222102101210110
42203002133032
541420132122
64124020450
71026165300
oct243023716
988371713
1042739662
1122141a39
1212391726
138b15854
145967970
153b4390c
hex28c27ce

42739662 has 48 divisors (see below), whose sum is σ = 102148560. Its totient is φ = 11878272.

The previous prime is 42739633. The next prime is 42739693. The reversal of 42739662 is 26693724.

42739662 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42739662.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8914 + ... + 12842.

It is an arithmetic number, because the mean of its divisors is an integer number (2128095).

Almost surely, 242739662 is an apocalyptic number.

42739662 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42739662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51074280).

42739662 is an abundant number, since it is smaller than the sum of its proper divisors (59408898).

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

42739662 is a wasteful number, since it uses less digits than its factorization.

42739662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3978 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 42739662 is about 6537.5578008917. The cubic root of 42739662 is about 349.6313451657.

The spelling of 42739662 in words is "forty-two million, seven hundred thirty-nine thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1554 1813 3626 3929 5439 7858 10878 11787 23574 27503 55006 82509 145373 165018 192521 290746 385042 436119 577563 872238 1017611 1155126 2035222 3052833 6105666 7123277 14246554 21369831 42739662