Search a number
-
+
422827992 = 233313914083
BaseRepresentation
bin11001001100111…
…101011111011000
31002110121212222000
4121030331133120
51331220443432
6105542401000
713322656446
oct3114753730
91073555860
10422827992
111a7747a24
12b9730160
13697a4ca2
1440227b96
15271c257c
hex1933d7d8

422827992 has 64 divisors (see below), whose sum is σ = 1183056000. Its totient is φ = 139918752.

The previous prime is 422827991. The next prime is 422827997. The reversal of 422827992 is 299728224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422827991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22983 + ... + 37065.

It is an arithmetic number, because the mean of its divisors is an integer number (18485250).

Almost surely, 2422827992 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 422827992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591528000).

422827992 is an abundant number, since it is smaller than the sum of its proper divisors (760228008).

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

422827992 is a wasteful number, since it uses less digits than its factorization.

422827992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14237 (or 14227 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 422827992 is about 20562.7817184349. The cubic root of 422827992 is about 750.5643112972.

The spelling of 422827992 in words is "four hundred twenty-two million, eight hundred twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 834 1112 1251 1668 2502 3336 3753 5004 7506 10008 14083 15012 28166 30024 42249 56332 84498 112664 126747 168996 253494 337992 380241 506988 760482 1013976 1520964 1957537 3041928 3915074 5872611 7830148 11745222 15660296 17617833 23490444 35235666 46980888 52853499 70471332 105706998 140942664 211413996 422827992