Search a number
-
+
4099856640 = 283511312101
BaseRepresentation
bin1111010001011110…
…1101100100000000
3101120201121022000020
43310113231210000
531344030403030
61514454053440
7203412130545
oct36427554400
911521538006
104099856640
111814297a80
1296504a280
13504514b99
142ac708bcc
1518edec510
hexf45ed900

4099856640 has 432 divisors, whose sum is σ = 14906058048. Its totient is φ = 952320000.

The previous prime is 4099856627. The next prime is 4099856647. The reversal of 4099856640 is 466589904.

It is not an unprimeable number, because it can be changed into a prime (4099856647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40592590 + ... + 40592690.

It is an arithmetic number, because the mean of its divisors is an integer number (34504764).

Almost surely, 24099856640 is an apocalyptic number.

4099856640 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 4099856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453029024).

4099856640 is an abundant number, since it is smaller than the sum of its proper divisors (10806201408).

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

4099856640 is a wasteful number, since it uses less digits than its factorization.

4099856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 4099856640 is about 64030.1229110174. The cubic root of 4099856640 is about 1600.5020091420.

The spelling of 4099856640 in words is "four billion, ninety-nine million, eight hundred fifty-six thousand, six hundred forty".