Search a number
-
+
4089039408 = 24344497027
BaseRepresentation
bin1111001110111001…
…1100101000110000
3101112222020201120000
43303232130220300
531333243230113
61513430150000
7203221155456
oct36356345060
911488221500
104089039408
111809179913
129614b2300
135021c835c
142ab0d09d6
1518deb2373
hexf3b9ca30

4089039408 has 100 divisors (see below), whose sum is σ = 11862912600. Its totient is φ = 1359783936.

The previous prime is 4089039403. The next prime is 4089039443. The reversal of 4089039408 is 8049309804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4089039401) 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 19 ways as a sum of consecutive naturals, for example, 578391 + ... + 585417.

It is an arithmetic number, because the mean of its divisors is an integer number (118629126).

Almost surely, 24089039408 is an apocalyptic number.

4089039408 is a gapful number since it is divisible by the number (48) 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 4089039408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931456300).

4089039408 is an abundant number, since it is smaller than the sum of its proper divisors (7773873192).

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

4089039408 is a wasteful number, since it uses less digits than its factorization.

4089039408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4089039408 is about 63945.5972526647. The cubic root of 4089039408 is about 1599.0931590384.

The spelling of 4089039408 in words is "four billion, eighty-nine million, thirty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 449 648 898 1296 1347 1796 2694 3592 4041 5388 7027 7184 8082 10776 12123 14054 16164 21081 21552 24246 28108 32328 36369 42162 48492 56216 63243 64656 72738 84324 96984 112432 126486 145476 168648 189729 193968 252972 290952 337296 379458 505944 569187 581904 758916 1011888 1138374 1517832 2276748 3035664 3155123 4553496 6310246 9106992 9465369 12620492 18930738 25240984 28396107 37861476 50481968 56792214 75722952 85188321 113584428 151445904 170376642 227168856 255564963 340753284 454337712 511129926 681506568 1022259852 1363013136 2044519704 4089039408