Search a number
-
+
3048528000 = 27353743211
BaseRepresentation
bin1011010110110100…
…1101100010000000
321212110100021020110
42311231031202000
522220410344000
61222300311320
7135355026510
oct26555154200
97773307213
103048528000
1113248a6231
12710b42540
1339777592b
1420cc39840
1512c97c850
hexb5b4d880

3048528000 has 512 divisors, whose sum is σ = 11874170880. Its totient is φ = 677376000.

The previous prime is 3048527983. The next prime is 3048528001. The reversal of 3048528000 is 8258403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3048528001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14447895 + ... + 14448105.

It is an arithmetic number, because the mean of its divisors is an integer number (23191740).

Almost surely, 23048528000 is an apocalyptic number.

3048528000 is a gapful number since it is divisible by the number (30) 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 3048528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937085440).

3048528000 is an abundant number, since it is smaller than the sum of its proper divisors (8825642880).

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

3048528000 is a wasteful number, since it uses less digits than its factorization.

3048528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3048528000 is about 55213.4766157684. The cubic root of 3048528000 is about 1449.9846213193.

It can be divided in two parts, 30485 and 28000, that added together give a palindrome (58485).

The spelling of 3048528000 in words is "three billion, forty-eight million, five hundred twenty-eight thousand".