Search a number
-
+
4874712192 = 2736717439
BaseRepresentation
bin1001000101000111…
…00011010010000000
3110120201122001000000
410202203203102000
534440411242232
62123414000000
7231541240620
oct44243432200
913521561000
104874712192
112081714469
12b40646000
135c8c02bac
143435aa880
151d7e5927c
hex1228e3480

4874712192 has 448 divisors, whose sum is σ = 17659382400. Its totient is φ = 1307860992.

The previous prime is 4874712169. The next prime is 4874712251. The reversal of 4874712192 is 2912174784.

4874712192 is a `hidden beast` number, since 487 + 47 + 121 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

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 55 ways as a sum of consecutive naturals, for example, 11103909 + ... + 11104347.

Almost surely, 24874712192 is an apocalyptic number.

4874712192 is a gapful number since it is divisible by the number (42) 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 4874712192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8829691200).

4874712192 is an abundant number, since it is smaller than the sum of its proper divisors (12784670208).

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

4874712192 is an equidigital number, since it uses as much as digits as its factorization.

4874712192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 468 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 4874712192 is about 69819.1391525275. The cubic root of 4874712192 is about 1695.5723527211.

The spelling of 4874712192 in words is "four billion, eight hundred seventy-four million, seven hundred twelve thousand, one hundred ninety-two".