Search a number
-
+
424452 = 223731163
BaseRepresentation
bin1100111101000000100
3210120020110
41213220010
5102040302
613033020
73415320
oct1475004
9716213
10424452
1126a996
12185770
1311b272
14b0980
1585b6c
hex67a04

424452 has 48 divisors (see below), whose sum is σ = 1175552. Its totient is φ = 116640.

The previous prime is 424451. The next prime is 424471. The reversal of 424452 is 254424.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 424452.

It is not an unprimeable number, because it can be changed into a prime (424451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2523 + ... + 2685.

2424452 is an apocalyptic number.

424452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 651×652.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587776).

424452 is an abundant number, since it is smaller than the sum of its proper divisors (751100).

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

424452 is a wasteful number, since it uses less digits than its factorization.

424452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its digits is 1280, while the sum is 21.

The square root of 424452 is about 651.4998081350. The cubic root of 424452 is about 75.1524012196.

Adding to 424452 its reverse (254424), we get a palindrome (678876).

The spelling of 424452 in words is "four hundred twenty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 163 186 217 326 372 434 489 651 652 868 978 1141 1302 1956 2282 2604 3423 4564 5053 6846 10106 13692 15159 20212 30318 35371 60636 70742 106113 141484 212226 424452