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8242124448 = 25385855463
BaseRepresentation
bin1111010110100010…
…01101011010100000
3210021102000022012110
413223101031122200
5113334440440243
63441505155320
7411150621225
oct75321153240
923242008173
108242124448
11354a5120a8
12172032bb40
13a14758c1c
145828d394c
153338c5e33
hex1eb44d6a0

8242124448 has 24 divisors (see below), whose sum is σ = 21635576928. Its totient is φ = 2747374784.

The previous prime is 8242124447. The next prime is 8242124453. The reversal of 8242124448 is 8444212428.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8242124441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42927636 + ... + 42927827.

It is an arithmetic number, because the mean of its divisors is an integer number (901482372).

Almost surely, 28242124448 is an apocalyptic number.

It is an amenable number.

8242124448 is an abundant number, since it is smaller than the sum of its proper divisors (13393452480).

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

8242124448 is a wasteful number, since it uses less digits than its factorization.

8242124448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85855476 (or 85855468 counting only the distinct ones).

The product of its digits is 131072, while the sum is 39.

The square root of 8242124448 is about 90786.1467846279. The cubic root of 8242124448 is about 2019.9768359923.

The spelling of 8242124448 in words is "eight billion, two hundred forty-two million, one hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 85855463 171710926 257566389 343421852 515132778 686843704 1030265556 1373687408 2060531112 2747374816 4121062224 8242124448