Search a number
-
+
42082722 = 23211257827
BaseRepresentation
bin1010000010001…
…0000110100010
32221012000122100
42200202012202
541233121342
64101551230
71020461103
oct240420642
987160570
1042082722
1121833410
1212115516
138945826
1458363aa
153a63e4c
hex28221a2

42082722 has 48 divisors (see below), whose sum is σ = 99976032. Its totient is φ = 12687360.

The previous prime is 42082699. The next prime is 42082723. The reversal of 42082722 is 22728024.

It is not an unprimeable number, because it can be changed into a prime (42082723) 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, 50473 + ... + 51299.

It is an arithmetic number, because the mean of its divisors is an integer number (2082834).

Almost surely, 242082722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42082722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49988016).

42082722 is an abundant number, since it is smaller than the sum of its proper divisors (57893310).

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

42082722 is a wasteful number, since it uses less digits than its factorization.

42082722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42082722 is about 6487.1196998360. The cubic root of 42082722 is about 347.8307242529.

The spelling of 42082722 in words is "forty-two million, eighty-two thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 257 514 771 827 1542 1654 2313 2481 2827 4626 4962 5654 7443 8481 9097 14886 16962 18194 25443 27291 50886 54582 81873 163746 212539 425078 637617 1275234 1912851 2337929 3825702 4675858 7013787 14027574 21041361 42082722