Search a number
-
+
4940705280 = 29357219691
BaseRepresentation
bin1001001100111110…
…10010111000000000
3110202022210211111110
410212133102320000
540104310032110
62134132243320
7233302205400
oct44637227000
913668724443
104940705280
112105999005
12b5a770540
1360979a964
1434c268800
151ddb42a20
hex1267d2e00

4940705280 has 480 divisors, whose sum is σ = 19368581760. Its totient is φ = 1068318720.

The previous prime is 4940705251. The next prime is 4940705281. The reversal of 4940705280 is 825070494.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4940705281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7149735 + ... + 7150425.

It is an arithmetic number, because the mean of its divisors is an integer number (40351212).

Almost surely, 24940705280 is an apocalyptic number.

4940705280 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 4940705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9684290880).

4940705280 is an abundant number, since it is smaller than the sum of its proper divisors (14427876480).

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

4940705280 is a wasteful number, since it uses less digits than its factorization.

4940705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 4940705280 is about 70290.1506613836. The cubic root of 4940705280 is about 1703.1895460452.

The spelling of 4940705280 in words is "four billion, nine hundred forty million, seven hundred five thousand, two hundred eighty".