Search a number
-
+
2480625000 = 23345772
BaseRepresentation
bin1001001111011011…
…0101010101101000
320101212201210210000
42103312311111220
520040020000000
61050052223000
7115320651600
oct22366652550
96355653700
102480625000
111063280307
1259290aa60
13306c07659
14197649c00
15e7ba0000
hex93db5568

2480625000 has 480 divisors, whose sum is σ = 10103001480. Its totient is φ = 567000000.

The previous prime is 2480624981. The next prime is 2480625011. The reversal of 2480625000 is 5260842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2480625000 is a `hidden beast` number, since 24 + 80 + 62 + 500 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1496297124 + 984327876 = 38682^2 + 31374^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 354374997 + ... + 354375003.

Almost surely, 22480625000 is an apocalyptic number.

2480625000 is a gapful number since it is divisible by the number (20) 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 2480625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051500740).

2480625000 is an abundant number, since it is smaller than the sum of its proper divisors (7622376480).

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

2480625000 is an frugal number, since it uses more digits than its factorization.

2480625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2480625000 is about 49805.8731476520. The cubic root of 2480625000 is about 1353.6935888588.

Adding to 2480625000 its reverse (5260842), we get a palindrome (2485885842).

The spelling of 2480625000 in words is "two billion, four hundred eighty million, six hundred twenty-five thousand".