Search a number
-
+
4730485760 = 210571113271
BaseRepresentation
bin1000110011111010…
…10111110000000000
3110012200020120112022
410121331113300000
534142001021020
62101222421012
7225140315450
oct43175276000
913180216468
104730485760
112008265a70
12b00291768
135a5075c00
1432c385d60
151ca46a625
hex119f57c00

4730485760 has 528 divisors, whose sum is σ = 15535452672. Its totient is φ = 1341849600.

The previous prime is 4730485759. The next prime is 4730485763. The reversal of 4730485760 is 675840374.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4730485763) 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, 66626525 + ... + 66626595.

Almost surely, 24730485760 is an apocalyptic number.

4730485760 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 4730485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767726336).

4730485760 is an abundant number, since it is smaller than the sum of its proper divisors (10804966912).

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

4730485760 is a wasteful number, since it uses less digits than its factorization.

4730485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The square root of 4730485760 is about 68778.5268815784. The cubic root of 4730485760 is about 1678.6825650377.

The spelling of 4730485760 in words is "four billion, seven hundred thirty million, four hundred eighty-five thousand, seven hundred sixty".