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4132343232 = 263213951613
BaseRepresentation
bin1111011001001110…
…1000110111000000
3101122222201210020100
43312103220313000
531430334440412
61522014242400
7204255223623
oct36623506700
911588653210
104132343232
1118306666a6
12973ab6400
1350b17a914
142b2b63dba
15192bb7edc
hexf64e8dc0

4132343232 has 84 divisors (see below), whose sum is σ = 11930059960. Its totient is φ = 1367511552.

The previous prime is 4132343227. The next prime is 4132343233. The reversal of 4132343232 is 2323432314.

4132343232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4132343196 and 4132343205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132343233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54258 + ... + 105870.

Almost surely, 24132343232 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 4132343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965029980).

4132343232 is an abundant number, since it is smaller than the sum of its proper divisors (7797716728).

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

4132343232 is a wasteful number, since it uses less digits than its factorization.

4132343232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51770 (or 51757 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 4132343232 is about 64283.3044576895. The cubic root of 4132343232 is about 1604.7182642290.

Adding to 4132343232 its reverse (2323432314), we get a palindrome (6455775546).

The spelling of 4132343232 in words is "four billion, one hundred thirty-two million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 8896 10008 13344 20016 26688 40032 51613 80064 103226 154839 206452 309678 412904 464517 619356 825808 929034 1238712 1651616 1858068 2477424 3303232 3716136 4954848 7174207 7432272 9909696 14348414 14864544 21522621 28696828 29729088 43045242 57393656 64567863 86090484 114787312 129135726 172180968 229574624 258271452 344361936 459149248 516542904 688723872 1033085808 1377447744 2066171616 4132343232