Search a number
-
+
4332113032 = 2313293738821
BaseRepresentation
bin1000000100011011…
…01100110010001000
3102011220122010212211
410002031230302020
532333010104112
61553512114504
7212232232102
oct40215546210
912156563784
104332113032
111923401705
12a0a995a34
135406841c0
142d14c6572
151a54c90a7
hex10236cc88

4332113032 has 64 divisors (see below), whose sum is σ = 9293986800. Its totient is φ = 1878266880.

The previous prime is 4332113017. The next prime is 4332113033. The reversal of 4332113032 is 2303112334.

It can be written as a sum of positive squares in 8 ways, for example, as 2600388036 + 1731724996 = 50994^2 + 41614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4332112994 and 4332113012.

It is not an unprimeable number, because it can be changed into a prime (4332113033) 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, 92182 + ... + 131002.

Almost surely, 24332113032 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 4332113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646993400).

4332113032 is an abundant number, since it is smaller than the sum of its proper divisors (4961873768).

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

4332113032 is a wasteful number, since it uses less digits than its factorization.

4332113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38906 (or 38902 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 4332113032 is about 65818.7893538008. The cubic root of 4332113032 is about 1630.1713636691.

Adding to 4332113032 its reverse (2303112334), we get a palindrome (6635225366).

The spelling of 4332113032 in words is "four billion, three hundred thirty-two million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 13 26 29 37 52 58 74 104 116 148 232 296 377 481 754 962 1073 1508 1924 2146 3016 3848 4292 8584 13949 27898 38821 55796 77642 111592 155284 310568 504673 1009346 1125809 1436377 2018692 2251618 2872754 4037384 4503236 5745508 9006472 11491016 14635517 18672901 29271034 37345802 41654933 58542068 74691604 83309866 117084136 149383208 166619732 333239464 541514129 1083028258 2166056516 4332113032