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3048630272 = 2113121549
BaseRepresentation
bin1011010110110110…
…0110100000000000
321212110112110112022
42311231212200000
522220422132042
61222302421012
7135355633622
oct26555464000
97773473468
103048630272
111324966056
12710b91768
133977b034c
1420cc64c12
1512c99ccd2
hexb5b66800

3048630272 has 72 divisors (see below), whose sum is σ = 6302819250. Its totient is φ = 1474191360.

The previous prime is 3048630271. The next prime is 3048630311. The reversal of 3048630272 is 2720368403.

It can be written as a sum of positive squares in only one way, i.e., 2764235776 + 284394496 = 52576^2 + 16864^2 .

It is not an unprimeable number, because it can be changed into a prime (3048630271) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1967354 + ... + 1968902.

Almost surely, 23048630272 is an apocalyptic number.

3048630272 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 3048630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151409625).

3048630272 is an abundant number, since it is smaller than the sum of its proper divisors (3254188978).

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

3048630272 is an equidigital number, since it uses as much as digits as its factorization.

3048630272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 3048630272 is about 55214.4027587006. The cubic root of 3048630272 is about 1450.0008358299. Note that the first 3 decimals are identical.

Adding to 3048630272 its reverse (2720368403), we get a palindrome (5768998675).

The spelling of 3048630272 in words is "three billion, forty-eight million, six hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 961 992 1024 1549 1922 1984 2048 3098 3844 3968 6196 7688 7936 12392 15376 15872 24784 30752 31744 48019 49568 61504 63488 96038 99136 123008 192076 198272 246016 384152 396544 492032 768304 793088 984064 1488589 1536608 1586176 1968128 2977178 3073216 3172352 5954356 6146432 11908712 12292864 23817424 24585728 47634848 49171456 95269696 98342912 190539392 381078784 762157568 1524315136 3048630272