Search a number
-
+
4743982080 = 2103653141
BaseRepresentation
bin1000110101100001…
…10110110000000000
3110020121122021000000
410122300312300000
534203424411310
62102424000000
7225363116355
oct43260666000
913217567000
104743982080
112014943a52
12b04900000
135a7abccb6
1433009a62c
151cb7344c0
hex11ac36c00

4743982080 has 616 divisors, whose sum is σ = 18042159744. Its totient is φ = 1194393600.

The previous prime is 4743982063. The next prime is 4743982097. The reversal of 4743982080 is 802893474.

4743982080 is a `hidden beast` number, since 4 + 7 + 439 + 8 + 208 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4743982063) and next prime (4743982097).

It is a super-2 number, since 2×47439820802 = 45010731950722252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 115706860 + ... + 115706900.

Almost surely, 24743982080 is an apocalyptic number.

4743982080 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 4743982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9021079872).

4743982080 is an abundant number, since it is smaller than the sum of its proper divisors (13298177664).

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

4743982080 is an equidigital number, since it uses as much as digits as its factorization.

4743982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4743982080 is about 68876.5713432369. The cubic root of 4743982080 is about 1680.2775051791.

The spelling of 4743982080 in words is "four billion, seven hundred forty-three million, nine hundred eighty-two thousand, eighty".