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8484408040 = 2354710144683
BaseRepresentation
bin1111110011011010…
…11100101011101000
3210220021220120210211
413321231130223220
5114334002024130
63521522150504
7420152164333
oct77155345350
923807816724
108484408040
113664255379
1217894b2434
13a529c92b4
145a6b6161a
15349cd3a2a
hex1f9b5cae8

8484408040 has 64 divisors (see below), whose sum is σ = 19689557760. Its totient is φ = 3288595200.

The previous prime is 8484408007. The next prime is 8484408043. The reversal of 8484408040 is 408044848.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8484407984 and 8484408002.

It is not an unprimeable number, because it can be changed into a prime (8484408043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167539 + ... + 212221.

It is an arithmetic number, because the mean of its divisors is an integer number (307649340).

Almost surely, 28484408040 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 8484408040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9844778880).

8484408040 is an abundant number, since it is smaller than the sum of its proper divisors (11205149720).

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

8484408040 is a wasteful number, since it uses less digits than its factorization.

8484408040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44842 (or 44838 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 8484408040 is about 92110.8464840053. The cubic root of 8484408040 is about 2039.5789243696.

The spelling of 8484408040 in words is "eight billion, four hundred eighty-four million, four hundred eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 101 188 202 235 376 404 470 505 808 940 1010 1880 2020 4040 4747 9494 18988 23735 37976 44683 47470 89366 94940 178732 189880 223415 357464 446830 893660 1787320 2100101 4200202 4512983 8400404 9025966 10500505 16800808 18051932 21001010 22564915 36103864 42002020 45129830 84004040 90259660 180519320 212110201 424220402 848440804 1060551005 1696881608 2121102010 4242204020 8484408040