Search a number
-
+
4842985680 = 2433513213267
BaseRepresentation
bin1001000001010101…
…00001100011010000
3110111111221011102000
410200222201203100
534404301020210
62120321554000
7231004461531
oct44052414320
913444834360
104842985680
112065814905
12b31aa5900
135c2475100
1433d2ac688
151d528dac0
hex120aa18d0

4842985680 has 240 divisors, whose sum is σ = 18064647360. Its totient is φ = 1192029696.

The previous prime is 4842985621. The next prime is 4842985681. The reversal of 4842985680 is 865892484.

4842985680 is a `hidden beast` number, since 484 + 2 + 9 + 85 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4842985681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 358407 + ... + 371673.

It is an arithmetic number, because the mean of its divisors is an integer number (75269364).

Almost surely, 24842985680 is an apocalyptic number.

4842985680 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 4842985680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9032323680).

4842985680 is an abundant number, since it is smaller than the sum of its proper divisors (13221661680).

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

4842985680 is a wasteful number, since it uses less digits than its factorization.

4842985680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13315 (or 13290 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 4842985680 is about 69591.5632817657. The cubic root of 4842985680 is about 1691.8858632329.

The spelling of 4842985680 in words is "four billion, eight hundred forty-two million, nine hundred eighty-five thousand, six hundred eighty".