Search a number
-
+
427232 = 2513279
BaseRepresentation
bin1101000010011100000
3210201001102
41220103200
5102132412
613053532
73426401
oct1502340
9721042
10427232
11271a93
121872a8
1311c600
14b19a8
15868c2
hex684e0

427232 has 36 divisors (see below), whose sum is σ = 922320. Its totient is φ = 194688.

The previous prime is 427213. The next prime is 427237. The reversal of 427232 is 232724.

It is a happy number.

It is a d-powerful number, because it can be written as 49 + 29 + 215 + 7 + 36 + 217 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5369 + ... + 5447.

It is an arithmetic number, because the mean of its divisors is an integer number (25620).

2427232 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 427232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461160).

427232 is an abundant number, since it is smaller than the sum of its proper divisors (495088).

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

427232 is a wasteful number, since it uses less digits than its factorization.

427232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its digits is 672, while the sum is 20.

The square root of 427232 is about 653.6298646788. The cubic root of 427232 is about 75.3161175756.

Adding to 427232 its reverse (232724), we get a palindrome (659956).

The spelling of 427232 in words is "four hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 79 104 158 169 208 316 338 416 632 676 1027 1264 1352 2054 2528 2704 4108 5408 8216 13351 16432 26702 32864 53404 106808 213616 427232