Search a number
-
+
4770275328 = 2133471379
BaseRepresentation
bin1000111000101010…
…01010000000000000
3110022110010002120000
410130111022000000
534232142302303
62105203320000
7226132446150
oct43425120000
913273102500
104770275328
112028772505
12b11680000
135b0397a30
14333782760
151cdbc9da3
hex11c54a000

4770275328 has 560 divisors, whose sum is σ = 17761793280. Its totient is φ = 1242169344.

The previous prime is 4770275317. The next prime is 4770275347. The reversal of 4770275328 is 8235720774.

4770275328 is a `hidden beast` number, since 47 + 70 + 2 + 7 + 532 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60383193 + ... + 60383271.

It is an arithmetic number, because the mean of its divisors is an integer number (31717488).

Almost surely, 24770275328 is an apocalyptic number.

4770275328 is a gapful number since it is divisible by the number (48) 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 4770275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8880896640).

4770275328 is an abundant number, since it is smaller than the sum of its proper divisors (12991517952).

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

4770275328 is an equidigital number, since it uses as much as digits as its factorization.

4770275328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 4770275328 is about 69067.1798179135. The cubic root of 4770275328 is about 1683.3760681719.

The spelling of 4770275328 in words is "four billion, seven hundred seventy million, two hundred seventy-five thousand, three hundred twenty-eight".