Search a number
-
+
4338432896 = 2775578693
BaseRepresentation
bin1000000101001011…
…10011101110000000
3102012100112020002212
410002211303232000
532341114323041
61554255401252
7212340033260
oct40245635600
912170466085
104338432896
111926a28936
12a10b23228
13541a87975
142d228d7a0
151a5d268eb
hex102973b80

4338432896 has 64 divisors (see below), whose sum is σ = 9896554080. Its totient is φ = 1855776768.

The previous prime is 4338432779. The next prime is 4338432907. The reversal of 4338432896 is 6982348334.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494726 + ... + 503418.

Almost surely, 24338432896 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 4338432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948277040).

4338432896 is an abundant number, since it is smaller than the sum of its proper divisors (5558121184).

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

4338432896 is an equidigital number, since it uses as much as digits as its factorization.

4338432896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9271 (or 9259 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The square root of 4338432896 is about 65866.7814303993. The cubic root of 4338432896 is about 1630.9636987576.

The spelling of 4338432896 in words is "four billion, three hundred thirty-eight million, four hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 557 896 1114 2228 3899 4456 7798 8693 8912 15596 17386 17824 31192 34772 35648 60851 62384 69544 71296 121702 124768 139088 243404 249536 278176 486808 499072 556352 973616 1112704 1947232 3894464 4842001 7788928 9684002 19368004 33894007 38736008 67788014 77472016 135576028 154944032 271152056 309888064 542304112 619776128 1084608224 2169216448 4338432896