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8047361952 = 253273991747
BaseRepresentation
bin1110111111010100…
…01111111110100000
3202202211112100021200
413133222033332200
5112440111040302
63410310521200
7403264306440
oct73752177640
922684470250
108047361952
11345a587163
121687066200
139b32b6846
14564ab6120
1532175381c
hex1dfa8ffa0

8047361952 has 72 divisors (see below), whose sum is σ = 26153932896. Its totient is φ = 2299245696.

The previous prime is 8047361921. The next prime is 8047361977. The reversal of 8047361952 is 2591637408.

8047361952 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

8047361952 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8047361898 and 8047361907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1993858 + ... + 1997889.

It is an arithmetic number, because the mean of its divisors is an integer number (363249068).

It is a 1-persistent number, because it is pandigital, but 2⋅8047361952 = 16094723904 is not.

Almost surely, 28047361952 is an apocalyptic number.

It is an amenable number.

8047361952 is an abundant number, since it is smaller than the sum of its proper divisors (18106570944).

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

8047361952 is a wasteful number, since it uses less digits than its factorization.

8047361952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991770 (or 3991759 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8047361952 is about 89707.0897532631. The cubic root of 8047361952 is about 2003.9390661191.

The spelling of 8047361952 in words is "eight billion, forty-seven million, three hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 3991747 7983494 11975241 15966988 23950482 27942229 31933976 35925723 47900964 55884458 63867952 71851446 83826687 95801928 111768916 127735904 143702892 167653374 191603856 223537832 251480061 287405784 335306748 383207712 447075664 502960122 574811568 670613496 894151328 1005920244 1149623136 1341226992 2011840488 2682453984 4023680976 8047361952