Search a number
-
+
42839340 = 22352337839
BaseRepresentation
bin1010001101101…
…0110100101100
32222121110112020
42203122310230
541431324330
64130110140
71030062015
oct243326454
988543466
1042839340
11221aa915
121241b350
138b4c02b
14599200c
153b63210
hex28dad2c

42839340 has 96 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 10619136.

The previous prime is 42839333. The next prime is 42839359. The reversal of 42839340 is 4393824.

42839340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 50641 + ... + 51479.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 242839340 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 42839340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

42839340 is an abundant number, since it is smaller than the sum of its proper divisors (85862100).

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

42839340 is a wasteful number, since it uses less digits than its factorization.

42839340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 42839340 is about 6545.1768501699. The cubic root of 42839340 is about 349.9029390722.

The spelling of 42839340 in words is "forty-two million, eight hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 69 74 92 111 115 138 148 185 222 230 276 345 370 444 460 555 690 740 839 851 1110 1380 1678 1702 2220 2517 2553 3356 3404 4195 4255 5034 5106 8390 8510 10068 10212 12585 12765 16780 17020 19297 25170 25530 31043 38594 50340 51060 57891 62086 77188 93129 96485 115782 124172 155215 186258 192970 231564 289455 310430 372516 385940 465645 578910 620860 713989 931290 1157820 1427978 1862580 2141967 2855956 3569945 4283934 7139890 8567868 10709835 14279780 21419670 42839340