Search a number
-
+
42776968 = 2313421977
BaseRepresentation
bin1010001100101…
…1100110001000
32222111021222011
42203023212020
541422330333
64124505304
71026412123
oct243134610
988437864
1042776968
1122167a73
12123ab234
138b29820
1459773ba
153b4e9cd
hex28cb988

42776968 has 32 divisors (see below), whose sum is σ = 86670360. Its totient is φ = 19676160.

The previous prime is 42776957. The next prime is 42776969. The reversal of 42776968 is 86967724.

It can be written as a sum of positive squares in 4 ways, for example, as 25786084 + 16990884 = 5078^2 + 4122^2 .

It is not an unprimeable number, because it can be changed into a prime (42776969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43296 + ... + 44272.

Almost surely, 242776968 is an apocalyptic number.

It is an amenable number.

42776968 is an abundant number, since it is smaller than the sum of its proper divisors (43893392).

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

42776968 is a wasteful number, since it uses less digits than its factorization.

42776968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1413 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The square root of 42776968 is about 6540.4103846777. The cubic root of 42776968 is about 349.7330426925.

The spelling of 42776968 in words is "forty-two million, seven hundred seventy-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 421 842 977 1684 1954 3368 3908 5473 7816 10946 12701 21892 25402 43784 50804 101608 411317 822634 1645268 3290536 5347121 10694242 21388484 42776968