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8282563552 = 255310745641
BaseRepresentation
bin1111011011010110…
…11110001111100000
3210101020002211020001
413231223132033200
5113430314013202
63445512025344
7412151425414
oct75553361740
923336084201
108282563552
11357032264a
121731992254
13a1cc475a3
1458801cd44
15337212d87
hex1edade3e0

8282563552 has 48 divisors (see below), whose sum is σ = 16769601072. Its totient is φ = 4025082880.

The previous prime is 8282563483. The next prime is 8282563559. The reversal of 8282563552 is 2553652828.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282563559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158652 + ... + 204292.

It is an arithmetic number, because the mean of its divisors is an integer number (349366689).

Almost surely, 28282563552 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 8282563552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384800536).

8282563552 is an abundant number, since it is smaller than the sum of its proper divisors (8487037520).

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

8282563552 is a wasteful number, since it uses less digits than its factorization.

8282563552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45811 (or 45803 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 46.

The square root of 8282563552 is about 91008.5905395749. The cubic root of 8282563552 is about 2023.2750480083.

It can be divided in two parts, 8282 and 563552, that multiplied together give a palindrome (4667337664).

The spelling of 8282563552 in words is "eight billion, two hundred eighty-two million, five hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 106 107 212 214 424 428 848 856 1696 1712 3424 5671 11342 22684 45368 45641 90736 91282 181472 182564 365128 730256 1460512 2418973 4837946 4883587 9675892 9767174 19351784 19534348 38703568 39068696 77407136 78137392 156274784 258830111 517660222 1035320444 2070640888 4141281776 8282563552