Search a number
-
+
3057280512 = 293111331449
BaseRepresentation
bin1011011000111010…
…0110011000000000
321220001210221102120
42312032212120000
522230130434022
61223212044240
7135522312156
oct26616463000
97801727376
103057280512
111329834110
12713a63680
1339951b730
142100773d6
1512d60ad5c
hexb63a6600

3057280512 has 320 divisors, whose sum is σ = 9899366400. Its totient is φ = 825753600.

The previous prime is 3057280477. The next prime is 3057280531. The reversal of 3057280512 is 2150827503.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6808864 + ... + 6809312.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 23057280512 is an apocalyptic number.

3057280512 is a gapful number since it is divisible by the number (32) 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 3057280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949683200).

3057280512 is an abundant number, since it is smaller than the sum of its proper divisors (6842085888).

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

3057280512 is a wasteful number, since it uses less digits than its factorization.

3057280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 3057280512 is about 55292.6804559157. The cubic root of 3057280512 is about 1451.3709605162.

The spelling of 3057280512 in words is "three billion, fifty-seven million, two hundred eighty thousand, five hundred twelve".