Search a number
-
+
422960776 = 23731534597
BaseRepresentation
bin11001001101011…
…101111010001000
31002110212122002221
4121031131322020
51331234221101
6105545303424
713324051540
oct3115357210
91073778087
10422960776
111a7828767
12b9794b74
1369820564
1440260320
15271ebaa1
hex1935de88

422960776 has 64 divisors (see below), whose sum is σ = 953441280. Its totient is φ = 172074240.

The previous prime is 422960761. The next prime is 422960809. The reversal of 422960776 is 677069224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89710 + ... + 94306.

It is an arithmetic number, because the mean of its divisors is an integer number (14897520).

Almost surely, 2422960776 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 422960776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476720640).

422960776 is an abundant number, since it is smaller than the sum of its proper divisors (530480504).

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

422960776 is a wasteful number, since it uses less digits than its factorization.

422960776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 422960776 is about 20566.0102110254. The cubic root of 422960776 is about 750.6428716122.

The spelling of 422960776 in words is "four hundred twenty-two million, nine hundred sixty thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 31 53 56 62 106 124 212 217 248 371 424 434 742 868 1484 1643 1736 2968 3286 4597 6572 9194 11501 13144 18388 23002 32179 36776 46004 64358 92008 128716 142507 243641 257432 285014 487282 570028 974564 997549 1140056 1705487 1949128 1995098 3410974 3990196 6821948 7552871 7980392 13643896 15105742 30211484 52870097 60422968 105740194 211480388 422960776