Search a number
-
+
42712092 = 223217101691
BaseRepresentation
bin1010001011101…
…1110000011100
32222100222222100
42202323300130
541413241332
64123245100
71026022023
oct242736034
988328870
1042712092
1122123255
1212379790
138b06137
14595b8ba
153b3a67c
hex28bbc1c

42712092 has 72 divisors (see below), whose sum is σ = 115616592. Its totient is φ = 13248000.

The previous prime is 42712091. The next prime is 42712121. The reversal of 42712092 is 29021724.

42712092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42712091) by changing a digit.

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, 61467 + ... + 62157.

It is an arithmetic number, because the mean of its divisors is an integer number (1605786).

Almost surely, 242712092 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 42712092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57808296).

42712092 is an abundant number, since it is smaller than the sum of its proper divisors (72904500).

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

42712092 is a wasteful number, since it uses less digits than its factorization.

42712092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42712092 is about 6535.4488751730. The cubic root of 42712092 is about 349.5561502987.

The spelling of 42712092 in words is "forty-two million, seven hundred twelve thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 303 306 404 606 612 691 909 1212 1382 1717 1818 2073 2764 3434 3636 4146 5151 6219 6868 8292 10302 11747 12438 15453 20604 23494 24876 30906 35241 46988 61812 69791 70482 105723 139582 140964 209373 211446 279164 418746 422892 628119 837492 1186447 1256238 2372894 2512476 3559341 4745788 7118682 10678023 14237364 21356046 42712092