Search a number
-
+
42311232 = 26321729149
BaseRepresentation
bin1010000101100…
…1111001000000
32221121122002200
42201121321000
541312424412
64110513200
71022432235
oct241317100
987548080
1042311232
112197a067
1212205800
1389c5842
14589578c
153aab9dc
hex2859e40

42311232 has 168 divisors, whose sum is σ = 133731000. Its totient is φ = 12730368.

The previous prime is 42311231. The next prime is 42311263. The reversal of 42311232 is 23211324.

42311232 is a `hidden beast` number, since 423 + 11 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 37748736 = 2136^2 + 6144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (42311231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283894 + ... + 284042.

Almost surely, 242311232 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 42311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66865500).

42311232 is an abundant number, since it is smaller than the sum of its proper divisors (91419768).

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

42311232 is a wasteful number, since it uses less digits than its factorization.

42311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 42311232 is about 6504.7084485010. The cubic root of 42311232 is about 348.4591640106.

Adding to 42311232 its reverse (23211324), we get a palindrome (65522556).

The spelling of 42311232 in words is "forty-two million, three hundred eleven thousand, two hundred thirty-two".