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4339252128 = 2532317910979
BaseRepresentation
bin1000000101010001…
…11011101110100000
3102012102001211212210
410002220323232200
532341322032003
61554325122120
7212350014561
oct40250735640
912172054783
104339252128
111927438392
12a11259340
13541cb3813
142d2424168
151a5e39503
hex102a3bba0

4339252128 has 96 divisors (see below), whose sum is σ = 11953267200. Its totient is φ = 1375675136.

The previous prime is 4339252081. The next prime is 4339252133. The reversal of 4339252128 is 8212529334.

It is a Cunningham number, because it is equal to 658732-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389743 + ... + 400721.

It is an arithmetic number, because the mean of its divisors is an integer number (124513200).

Almost surely, 24339252128 is an apocalyptic number.

4339252128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4339252128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976633600).

4339252128 is an abundant number, since it is smaller than the sum of its proper divisors (7614015072).

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

4339252128 is a wasteful number, since it uses less digits than its factorization.

4339252128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11194 (or 11186 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 4339252128 is about 65872.9999924096. Note that the first 5 decimals coincide. The cubic root of 4339252128 is about 1631.0663513046.

The spelling of 4339252128 in words is "four billion, three hundred thirty-nine million, two hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 179 184 276 358 368 537 552 716 736 1074 1104 1432 2148 2208 2864 4117 4296 5728 8234 8592 10979 12351 16468 17184 21958 24702 32936 32937 43916 49404 65872 65874 87832 98808 131744 131748 175664 197616 252517 263496 351328 395232 505034 526992 757551 1010068 1053984 1515102 1965241 2020136 3030204 3930482 4040272 5895723 6060408 7860964 8080544 11791446 12120816 15721928 23582892 24241632 31443856 45200543 47165784 62887712 90401086 94331568 135601629 180802172 188663136 271203258 361604344 542406516 723208688 1084813032 1446417376 2169626064 4339252128