Search a number
-
+
422793252 = 223273154121
BaseRepresentation
bin11001001100110…
…101000000100100
31002110120010022100
4121030311000210
51331213341002
6105541532100
713322453250
oct3114650044
91073503270
10422793252
111a7723912
12b9714030
136979222b
1440219260
15271b711c
hex19335024

422793252 has 72 divisors (see below), whose sum is σ = 1260826112. Its totient is φ = 116899200.

The previous prime is 422793181. The next prime is 422793253. The reversal of 422793252 is 252397224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (422793253) 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 23 ways as a sum of consecutive naturals, for example, 19249 + ... + 34872.

Almost surely, 2422793252 is an apocalyptic number.

422793252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

422793252 is an abundant number, since it is smaller than the sum of its proper divisors (838032860).

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

422793252 is a wasteful number, since it uses less digits than its factorization.

422793252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54169 (or 54164 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 422793252 is about 20561.9369710152. The cubic root of 422793252 is about 750.5437550120.

It can be divided in two parts, 4227 and 93252, that added together give a palindrome (97479).

The spelling of 422793252 in words is "four hundred twenty-two million, seven hundred ninety-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 54121 108242 162363 216484 324726 378847 487089 649452 757694 974178 1136541 1515388 1677751 1948356 2273082 3355502 3409623 4546164 5033253 6711004 6819246 10066506 11744257 13638492 15099759 20133012 23488514 30199518 35232771 46977028 60399036 70465542 105698313 140931084 211396626 422793252