Search a number
-
+
4040216608 = 253123917041
BaseRepresentation
bin1111000011010000…
…1101000000100000
3101102120101021021011
43300310031000200
531233243412413
61504523510304
7202056163111
oct36064150040
911376337234
104040216608
11179366259a
12949088394
134c5062a1c
142a4822208
15189a6b33d
hexf0d0d020

4040216608 has 48 divisors (see below), whose sum is σ = 8245601280. Its totient is φ = 1946649600.

The previous prime is 4040216561. The next prime is 4040216623. The reversal of 4040216608 is 8066120404.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 4040216608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228568 + ... + 245608.

It is an arithmetic number, because the mean of its divisors is an integer number (171783360).

Almost surely, 24040216608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040216608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122800640).

4040216608 is an abundant number, since it is smaller than the sum of its proper divisors (4205384672).

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

4040216608 is a wasteful number, since it uses less digits than its factorization.

4040216608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17321 (or 17313 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4040216608 is about 63562.6982435453. The cubic root of 4040216608 is about 1592.7033120499.

The spelling of 4040216608 in words is "four billion, forty million, two hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 8 16 31 32 62 124 239 248 478 496 956 992 1912 3824 7409 7648 14818 17041 29636 34082 59272 68164 118544 136328 237088 272656 528271 545312 1056542 2113084 4072799 4226168 8145598 8452336 16291196 16904672 32582392 65164784 126256769 130329568 252513538 505027076 1010054152 2020108304 4040216608