Search a number
-
+
422472 = 23329607
BaseRepresentation
bin1100111001001001000
3210110112010
41213021020
5102004342
613015520
73406461
oct1471110
9713463
10422472
11269456
121845a0
1311a3ab
14add68
158529c
hex67248

422472 has 32 divisors (see below), whose sum is σ = 1094400. Its totient is φ = 135744.

The previous prime is 422459. The next prime is 422479. The reversal of 422472 is 274224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422479) by changing a digit.

422472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2422472 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 422472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547200).

422472 is an abundant number, since it is smaller than the sum of its proper divisors (671928).

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

422472 is a wasteful number, since it uses less digits than its factorization.

422472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 641 counting only the distinct ones).

The product of its digits is 896, while the sum is 21.

The square root of 422472 is about 649.9784611816. The cubic root of 422472 is about 75.0353611031.

Adding to 422472 its reverse (274224), we get a palindrome (696696).

The spelling of 422472 in words is "four hundred twenty-two thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 607 696 1214 1821 2428 3642 4856 7284 14568 17603 35206 52809 70412 105618 140824 211236 422472