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3053670048 = 25321113531399
BaseRepresentation
bin1011011000000011…
…0100111010100000
321212211000111210200
42312000310322200
522223214420143
61223002425200
7135446524062
oct26600647240
97784014720
103053670048
111327798560
12712802200
13398856270
1420d7b7732
1512d1461d3
hexb6034ea0

3053670048 has 288 divisors, whose sum is σ = 10401955200. Its totient is φ = 837457920.

The previous prime is 3053670047. The next prime is 3053670157. The reversal of 3053670048 is 8400763503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3053669994 and 3053670021.

It is not an unprimeable number, because it can be changed into a prime (3053670047) 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 47 ways as a sum of consecutive naturals, for example, 2182053 + ... + 2183451.

It is an arithmetic number, because the mean of its divisors is an integer number (36117900).

Almost surely, 23053670048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3053670048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200977600).

3053670048 is an abundant number, since it is smaller than the sum of its proper divisors (7348285152).

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

3053670048 is a wasteful number, since it uses less digits than its factorization.

3053670048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3053670048 is about 55260.0221498327. The cubic root of 3053670048 is about 1450.7994082610.

The spelling of 3053670048 in words is "three billion, fifty-three million, six hundred seventy thousand, forty-eight".