Search a number
-
+
2444423000 = 23534752009
BaseRepresentation
bin1001000110110010…
…1110111101011000
320022100121112222012
42101230232331120
520001233014000
61042320245052
7114401152445
oct22154567530
96270545865
102444423000
1110448a41a8
12582770788
132cc570756
141929049cc
15e48ed735
hex91b2ef58

2444423000 has 64 divisors (see below), whose sum is σ = 5841763200. Its totient is φ = 956947200.

The previous prime is 2444422997. The next prime is 2444423011. The reversal of 2444423000 is 3244442.

It is a congruent number.

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, 20996 + ... + 73004.

It is an arithmetic number, because the mean of its divisors is an integer number (91277550).

Almost surely, 22444423000 is an apocalyptic number.

2444423000 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 2444423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920881600).

2444423000 is an abundant number, since it is smaller than the sum of its proper divisors (3397340200).

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

2444423000 is a wasteful number, since it uses less digits than its factorization.

2444423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52077 (or 52063 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2444423000 is about 49441.1063792064. The cubic root of 2444423000 is about 1347.0760676740.

Adding to 2444423000 its reverse (3244442), we get a palindrome (2447667442).

It can be divided in two parts, 244 and 4423000, that added together give a palindrome (4423244).

The spelling of 2444423000 in words is "two billion, four hundred forty-four million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2350 4700 5875 9400 11750 23500 47000 52009 104018 208036 260045 416072 520090 1040180 1300225 2080360 2444423 2600450 4888846 5200900 6501125 9777692 10401800 12222115 13002250 19555384 24444230 26004500 48888460 52009000 61110575 97776920 122221150 244442300 305552875 488884600 611105750 1222211500 2444423000