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2044042020 = 223355964157
BaseRepresentation
bin111100111010101…
…1001101100100100
312021110020002112000
41321311121230210
513141233321040
6534454525300
7101440033116
oct17165315444
95243202460
102044042020
11959899029
12490666830
13267627927
141556813b6
15be6b2130
hex79d59b24

2044042020 has 96 divisors (see below), whose sum is σ = 6467126400. Its totient is φ = 535830912.

The previous prime is 2044041977. The next prime is 2044042027. The reversal of 2044042020 is 202404402.

2044042020 is a `hidden beast` number, since 20 + 440 + 4 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2044041984 and 2044042002.

It is not an unprimeable number, because it can be changed into a prime (2044042027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 219 + ... + 63938.

It is an arithmetic number, because the mean of its divisors is an integer number (67365900).

Almost surely, 22044042020 is an apocalyptic number.

2044042020 is a gapful number since it is divisible by the number (20) 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 2044042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233563200).

2044042020 is an abundant number, since it is smaller than the sum of its proper divisors (4423084380).

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

2044042020 is a wasteful number, since it uses less digits than its factorization.

2044042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64234 (or 64226 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2044042020 is about 45211.0829332809. The cubic root of 2044042020 is about 1269.1022278470.

Adding to 2044042020 its reverse (202404402), we get a palindrome (2246446422).

The spelling of 2044042020 in words is "two billion, forty-four million, forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 708 885 1062 1180 1593 1770 2124 2655 3186 3540 5310 6372 7965 10620 15930 31860 64157 128314 192471 256628 320785 384942 577413 641570 769884 962355 1154826 1283140 1732239 1924710 2309652 2887065 3464478 3785263 3849420 5774130 6928956 7570526 8661195 11355789 11548260 15141052 17322390 18926315 22711578 34067367 34644780 37852630 45423156 56778945 68134734 75705260 102202101 113557890 136269468 170336835 204404202 227115780 340673670 408808404 511010505 681347340 1022021010 2044042020