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2444413240 = 235313835147
BaseRepresentation
bin1001000110110010…
…1100100100111000
320022100121001120201
42101230230210320
520001232210430
61042320131544
7114401112133
oct22154544470
96270531521
102444413240
111044897935
12582766bb4
132cc569189
1419290121a
15e48ea8ca
hex91b2c938

2444413240 has 64 divisors (see below), whose sum is σ = 5693276160. Its totient is φ = 943570560.

The previous prime is 2444413157. The next prime is 2444413241. The reversal of 2444413240 is 423144442.

It is a junction number, because it is equal to n+sod(n) for n = 2444413199 and 2444413208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444413241) 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, 472347 + ... + 477493.

It is an arithmetic number, because the mean of its divisors is an integer number (88957440).

Almost surely, 22444413240 is an apocalyptic number.

2444413240 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 2444413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846638080).

2444413240 is an abundant number, since it is smaller than the sum of its proper divisors (3248862920).

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

2444413240 is a wasteful number, since it uses less digits than its factorization.

2444413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2444413240 is about 49441.0076758150. The cubic root of 2444413240 is about 1347.0742748201.

Adding to 2444413240 its reverse (423144442), we get a palindrome (2867557682).

The spelling of 2444413240 in words is "two billion, four hundred forty-four million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 383 620 766 1240 1532 1915 3064 3830 5147 7660 10294 11873 15320 20588 23746 25735 41176 47492 51470 59365 94984 102940 118730 159557 205880 237460 319114 474920 638228 797785 1276456 1595570 1971301 3191140 3942602 6382280 7885204 9856505 15770408 19713010 39426020 61110331 78852040 122220662 244441324 305551655 488882648 611103310 1222206620 2444413240