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3879443952 = 2432181251593
BaseRepresentation
bin1110011100111011…
…1001110111110000
3101000100212011122100
43213032321313300
530421114201302
61440541540400
7165064505136
oct34716716760
911010764570
103879443952
11171093272a
12903274700
1349a961687
1428b331756
1517a8aed1c
hexe73b9df0

3879443952 has 120 divisors (see below), whose sum is σ = 10979016048. Its totient is φ = 1278720000.

The previous prime is 3879443951. The next prime is 3879443977. The reversal of 3879443952 is 2593449783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3879443951) 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, 6541768 + ... + 6542360.

Almost surely, 23879443952 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 3879443952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489508024).

3879443952 is an abundant number, since it is smaller than the sum of its proper divisors (7099572096).

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

3879443952 is a wasteful number, since it uses less digits than its factorization.

3879443952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1030 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3879443952 is about 62285.1824433388. The cubic root of 3879443952 is about 1571.2905331467.

The spelling of 3879443952 in words is "three billion, eight hundred seventy-nine million, four hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 251 362 502 543 593 724 753 1004 1086 1186 1448 1506 1629 1779 2008 2172 2259 2372 2896 3012 3258 3558 4016 4344 4518 4744 5337 6024 6516 7116 8688 9036 9488 10674 12048 13032 14232 18072 21348 26064 28464 36144 42696 45431 85392 90862 107333 136293 148843 181724 214666 272586 297686 321999 363448 408879 429332 446529 545172 595372 643998 726896 817758 858664 893058 965997 1090344 1190744 1287996 1339587 1635516 1717328 1786116 1931994 2180688 2381488 2575992 2679174 3271032 3572232 3863988 5151984 5358348 6542064 7144464 7727976 10716696 15455952 21433392 26940583 53881166 80821749 107762332 161643498 215524664 242465247 323286996 431049328 484930494 646573992 969860988 1293147984 1939721976 3879443952