Search a number
-
+
8480707040 = 2551317373643
BaseRepresentation
bin1111110010111110…
…10101000111100000
3210220000221112222202
413321133111013200
5114332030111130
63521310552332
7420105551261
oct77137250740
923800845882
108480707040
1136621577a3
1217882086a8
13a52001860
145a647a968
15349802145
hex1f97d51e0

8480707040 has 192 divisors, whose sum is σ = 22942979136. Its totient is φ = 2934669312.

The previous prime is 8480707021. The next prime is 8480707051. The reversal of 8480707040 is 407070848.

It is a junction number, because it is equal to n+sod(n) for n = 8480706985 and 8480707003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13188959 + ... + 13189601.

It is an arithmetic number, because the mean of its divisors is an integer number (119494683).

Almost surely, 28480707040 is an apocalyptic number.

8480707040 is a gapful number since it is divisible by the number (80) 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 8480707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11471489568).

8480707040 is an abundant number, since it is smaller than the sum of its proper divisors (14462272096).

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

8480707040 is a wasteful number, since it uses less digits than its factorization.

8480707040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 8480707040 is about 92090.7543676345. The cubic root of 8480707040 is about 2039.2823183519.

Adding to 8480707040 its reverse (407070848), we get a palindrome (8887777888).

The spelling of 8480707040 in words is "eight billion, four hundred eighty million, seven hundred seven thousand, forty".