Search a number
-
+
4866240000 = 2935437137
BaseRepresentation
bin1001000100000110…
…01110111000000000
3110120010200121100010
410202003032320000
534431224140000
62122512224520
7231406233426
oct44203167000
913503617303
104866240000
112077958156
12b3983b140
135c722786b
14342403116
151d7333d50
hex1220cee00

4866240000 has 400 divisors, whose sum is σ = 16759047888. Its totient is φ = 1253376000.

The previous prime is 4866239981. The next prime is 4866240011. The reversal of 4866240000 is 426684.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4866240000.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 35519932 + ... + 35520068.

Almost surely, 24866240000 is an apocalyptic number.

4866240000 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 4866240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379523944).

4866240000 is an abundant number, since it is smaller than the sum of its proper divisors (11892807888).

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

4866240000 is an equidigital number, since it uses as much as digits as its factorization.

4866240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4866240000 is about 69758.4403495376. The cubic root of 4866240000 is about 1694.5894882160.

Adding to 4866240000 its reverse (426684), we get a palindrome (4866666684).

The spelling of 4866240000 in words is "four billion, eight hundred sixty-six million, two hundred forty thousand".