Search a number
-
+
4217989890 = 235317096397
BaseRepresentation
bin1111101101101001…
…0110101100000010
3101212221220002100210
43323122112230002
532114301134030
61534314054550
7206345215422
oct37332265402
911787802323
104217989890
111874a44264
1299871a456
13522b3720a
142c029a482
1519a484bb0
hexfb696b02

4217989890 has 64 divisors (see below), whose sum is σ = 10466104320. Its totient is φ = 1086808320.

The previous prime is 4217989847. The next prime is 4217989903. The reversal of 4217989890 is 989897124.

It is a self number, because there is not a number n which added to its sum of digits gives 4217989890.

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 31 ways as a sum of consecutive naturals, for example, 656172 + ... + 662568.

It is an arithmetic number, because the mean of its divisors is an integer number (163532880).

Almost surely, 24217989890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4217989890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233052160).

4217989890 is an abundant number, since it is smaller than the sum of its proper divisors (6248114430).

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

4217989890 is a wasteful number, since it uses less digits than its factorization.

4217989890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7147.

The product of its (nonzero) digits is 2612736, while the sum is 57.

The square root of 4217989890 is about 64946.0536907363. The cubic root of 4217989890 is about 1615.7289682964.

The spelling of 4217989890 in words is "four billion, two hundred seventeen million, nine hundred eighty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 709 930 1418 2127 3545 4254 6397 7090 10635 12794 19191 21270 21979 31985 38382 43958 63970 65937 95955 109895 131874 191910 198307 219790 329685 396614 594921 659370 991535 1189842 1983070 2974605 4535473 5949210 9070946 13606419 22677365 27212838 45354730 68032095 136064190 140599663 281199326 421798989 702998315 843597978 1405996630 2108994945 4217989890