Search a number
-
+
4998837760 = 29571761269
BaseRepresentation
bin1001010011111010…
…00011011000000000
3110220101012021021021
410221331003120000
540214200302020
62144010235224
7234606264010
oct45175033000
913811167237
104998837760
112135793884
12b76125b14
13618842887
14355c7bc40
151e3cc71aa
hex129f43600

4998837760 has 320 divisors, whose sum is σ = 14796017280. Its totient is φ = 1580728320.

The previous prime is 4998837719. The next prime is 4998837787. The reversal of 4998837760 is 677388994.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18582906 + ... + 18583174.

It is an arithmetic number, because the mean of its divisors is an integer number (46237554).

Almost surely, 24998837760 is an apocalyptic number.

4998837760 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 4998837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398008640).

4998837760 is an abundant number, since it is smaller than the sum of its proper divisors (9797179520).

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

4998837760 is a wasteful number, since it uses less digits than its factorization.

4998837760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 61.

The square root of 4998837760 is about 70702.4593631650. The cubic root of 4998837760 is about 1709.8434429131.

The spelling of 4998837760 in words is "four billion, nine hundred ninety-eight million, eight hundred thirty-seven thousand, seven hundred sixty".