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3929739048 = 23321314011039
BaseRepresentation
bin1110101000111011…
…0000111100101000
3101010212111102112200
43222032300330220
531022003122143
61445535540200
7166245142104
oct35216607450
911125442480
103929739048
111737265124
1291808a660
134a81c11a1
14293ca4904
1517eee71d3
hexea3b0f28

3929739048 has 96 divisors (see below), whose sum is σ = 10761379200. Its totient is φ = 1295424000.

The previous prime is 3929738987. The next prime is 3929739053. The reversal of 3929739048 is 8409379293.

3929739048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3929738985 and 3929739003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3781713 + ... + 3782751.

It is an arithmetic number, because the mean of its divisors is an integer number (112097700).

Almost surely, 23929739048 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 3929739048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380689600).

3929739048 is an abundant number, since it is smaller than the sum of its proper divisors (6831640152).

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

3929739048 is a wasteful number, since it uses less digits than its factorization.

3929739048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 3929739048 is about 62687.6307416383. The cubic root of 3929739048 is about 1578.0517363174.

The spelling of 3929739048 in words is "three billion, nine hundred twenty-nine million, seven hundred thirty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 401 524 786 802 1039 1048 1179 1203 1572 1604 2078 2358 2406 3117 3144 3208 3609 4156 4716 4812 6234 7218 8312 9351 9432 9624 12468 14436 18702 24936 28872 37404 52531 74808 105062 136109 157593 210124 272218 315186 408327 416639 420248 472779 544436 630372 816654 833278 945558 1088872 1224981 1249917 1260744 1633308 1666556 1891116 2449962 2499834 3266616 3333112 3749751 3782232 4899924 4999668 7499502 9799848 9999336 14999004 29998008 54579709 109159418 163739127 218318836 327478254 436637672 491217381 654956508 982434762 1309913016 1964869524 3929739048