Search a number
-
+
7275803040 = 25325112947337
BaseRepresentation
bin1101100011010101…
…11111000110100000
3200210001201002102200
412301222333012200
5104400101144130
63201545413200
7345205206522
oct66152770640
920701632380
107275803040
1130a4001570
1214b079a200
138bc4b11cc
144d0431a12
152c8b48760
hex1b1abf1a0

7275803040 has 576 divisors, whose sum is σ = 28700904960. Its totient is φ = 1661829120.

The previous prime is 7275803023. The next prime is 7275803071. The reversal of 7275803040 is 403085727.

7275803040 is a `hidden beast` number, since 7 + 2 + 7 + 580 + 30 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7275802986 and 7275803004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21589752 + ... + 21590088.

It is an arithmetic number, because the mean of its divisors is an integer number (49827960).

Almost surely, 27275803040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7275803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350452480).

7275803040 is an abundant number, since it is smaller than the sum of its proper divisors (21425101920).

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

7275803040 is a wasteful number, since it uses less digits than its factorization.

7275803040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7275803040 is about 85298.3179201091. The cubic root of 7275803040 is about 1937.7317025154.

Adding to 7275803040 its reverse (403085727), we get a palindrome (7678888767).

The spelling of 7275803040 in words is "seven billion, two hundred seventy-five million, eight hundred three thousand, forty".