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8280472896 = 2632137104933
BaseRepresentation
bin1111011011000110…
…11111110101000000
3210101002011121101100
413231203133311000
5113424300113041
63445355134400
7412124600253
oct75543376500
923332147340
108280472896
11356a124933
121731144400
13a1c694b07
14587a3709a
15336e4d6b6
hex1ed8dfd40

8280472896 has 84 divisors (see below), whose sum is σ = 23907952692. Its totient is φ = 2739984384.

The previous prime is 8280472853. The next prime is 8280472901. The reversal of 8280472896 is 6982740828.

8280472896 is a `hidden beast` number, since 8 + 2 + 80 + 472 + 8 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4419590400 + 3860882496 = 66480^2 + 62136^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 26446 + ... + 131378.

Almost surely, 28280472896 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 8280472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11953976346).

8280472896 is an abundant number, since it is smaller than the sum of its proper divisors (15627479796).

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

8280472896 is a wasteful number, since it uses less digits than its factorization.

8280472896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105088 (or 105075 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 8280472896 is about 90997.1037780874. The cubic root of 8280472896 is about 2023.1047976566.

The spelling of 8280472896 in words is "eight billion, two hundred eighty million, four hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 137 144 192 274 288 411 548 576 822 1096 1233 1644 2192 2466 3288 4384 4932 6576 8768 9864 13152 19728 26304 39456 78912 104933 209866 314799 419732 629598 839464 944397 1259196 1678928 1888794 2518392 3357856 3777588 5036784 6715712 7555176 10073568 14375821 15110352 20147136 28751642 30220704 43127463 57503284 60441408 86254926 115006568 129382389 172509852 230013136 258764778 345019704 460026272 517529556 690039408 920052544 1035059112 1380078816 2070118224 2760157632 4140236448 8280472896