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3920395752 = 2332713246027
BaseRepresentation
bin1110100110101100…
…0111110111101000
3101010012220201221200
43221223013313220
531012110131002
61445003404200
7166102546140
oct35153076750
911105821850
103920395752
111731a63399
12914b23660
134a629c500
14292951920
1517e29db1c
hexe9ac7de8

3920395752 has 144 divisors (see below), whose sum is σ = 13140073440. Its totient is φ = 1033928064.

The previous prime is 3920395733. The next prime is 3920395781. The reversal of 3920395752 is 2575930293.

It is a junction number, because it is equal to n+sod(n) for n = 3920395698 and 3920395707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62163 + ... + 108189.

It is an arithmetic number, because the mean of its divisors is an integer number (91250510).

Almost surely, 23920395752 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 3920395752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570036720).

3920395752 is an abundant number, since it is smaller than the sum of its proper divisors (9219677688).

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

3920395752 is a wasteful number, since it uses less digits than its factorization.

3920395752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46072 (or 46052 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 3920395752 is about 62613.0637487098. The cubic root of 3920395752 is about 1576.8000921273.

The spelling of 3920395752 in words is "three billion, nine hundred twenty million, three hundred ninety-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2184 2366 3042 3276 3549 4056 4732 6084 6552 7098 9464 10647 12168 14196 21294 28392 42588 46027 85176 92054 138081 184108 276162 322189 368216 414243 552324 598351 644378 828486 966567 1104648 1196702 1288756 1656972 1795053 1933134 2393404 2577512 2899701 3313944 3590106 3866268 4188457 4786808 5385159 5799402 7180212 7732536 7778563 8376914 10770318 11598804 12565371 14360424 15557126 16753828 21540636 23197608 23335689 25130742 31114252 33507656 37696113 43081272 46671378 50261484 54449941 62228504 70007067 75392226 93342756 100522968 108899882 140014134 150784452 163349823 186685512 217799764 280028268 301568904 326699646 435599528 490049469 560056536 653399292 980098938 1306798584 1960197876 3920395752