Search a number
-
+
4480040840 = 23511101100811
BaseRepresentation
bin1000010110000011…
…11111111110001000
3102120012222122200112
410023001333332020
533133342301330
62020314453452
7216006501362
oct41301777610
912505878615
104480040840
111999958aa0
12a50434288
13565208b52
14306dd1d32
151b3499795
hex10b07ff88

4480040840 has 64 divisors (see below), whose sum is σ = 11105449920. Its totient is φ = 1612960000.

The previous prime is 4480040779. The next prime is 4480040927. The reversal of 4480040840 is 480400844.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4480040797 and 4480040806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5966 + ... + 94845.

It is an arithmetic number, because the mean of its divisors is an integer number (173522655).

Almost surely, 24480040840 is an apocalyptic number.

4480040840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4480040840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552724960).

4480040840 is an abundant number, since it is smaller than the sum of its proper divisors (6625409080).

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

4480040840 is a wasteful number, since it uses less digits than its factorization.

4480040840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100934 (or 100930 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4480040840 is about 66933.1072041333. The cubic root of 4480040840 is about 1648.5191292324.

The spelling of 4480040840 in words is "four billion, four hundred eighty million, forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 100811 201622 403244 504055 806488 1008110 1108921 2016220 2217842 4032440 4435684 5544605 8871368 10181911 11089210 20363822 22178420 40727644 44356840 50909555 81455288 101819110 112001021 203638220 224002042 407276440 448004084 560005105 896008168 1120010210 2240020420 4480040840