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8045473408 = 27725734939
BaseRepresentation
bin1110111111000110…
…00010111010000000
3202202200222101200121
413133203002322000
5112434120122113
63410202230024
7403242252460
oct73743027200
922680871617
108045473408
113459507285
1216864b5314
139b2aa506b
14564743ba0
153214cde8d
hex1df8c2e80

8045473408 has 64 divisors (see below), whose sum is σ = 18389620800. Its totient is φ = 3434545152.

The previous prime is 8045473367. The next prime is 8045473433. The reversal of 8045473408 is 8043745408.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212803 + ... + 247741.

It is an arithmetic number, because the mean of its divisors is an integer number (287337825).

Almost surely, 28045473408 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 8045473408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194810400).

8045473408 is an abundant number, since it is smaller than the sum of its proper divisors (10344147392).

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

8045473408 is a wasteful number, since it uses less digits than its factorization.

8045473408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35217 (or 35205 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The square root of 8045473408 is about 89696.5629664816. The cubic root of 8045473408 is about 2003.7822932864.

Subtracting from 8045473408 its reverse (8043745408), we obtain a cube (1728000 = 1203).

The spelling of 8045473408 in words is "eight billion, forty-five million, four hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 257 448 514 896 1028 1799 2056 3598 4112 7196 8224 14392 16448 28784 32896 34939 57568 69878 115136 139756 230272 244573 279512 489146 559024 978292 1118048 1956584 2236096 3913168 4472192 7826336 8979323 15652672 17958646 31305344 35917292 62855261 71834584 125710522 143669168 251421044 287338336 502842088 574676672 1005684176 1149353344 2011368352 4022736704 8045473408