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3052895040 = 2632513731117
BaseRepresentation
bin1011010111110111…
…0111101101000000
321212202120010200200
42311331313231000
522223020120130
61222534045200
7135440115426
oct26575675500
97782503620
103052895040
111327309258
127124a9800
13398644590
1420d655116
1512d041760
hexb5f77b40

3052895040 has 336 divisors, whose sum is σ = 11473604688. Its totient is φ = 740524032.

The previous prime is 3052895023. The next prime is 3052895051. The reversal of 3052895040 is 405982503.

3052895040 is a `hidden beast` number, since 3 + 0 + 528 + 95 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 751198464 + 2301696576 = 27408^2 + 47976^2 .

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 = 3052894986 and 3052895004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2732562 + ... + 2733678.

It is an arithmetic number, because the mean of its divisors is an integer number (34147633).

Almost surely, 23052895040 is an apocalyptic number.

3052895040 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 3052895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736802344).

3052895040 is an abundant number, since it is smaller than the sum of its proper divisors (8420709648).

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

3052895040 is a wasteful number, since it uses less digits than its factorization.

3052895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3052895040 is about 55253.0093298094. The cubic root of 3052895040 is about 1450.6766623777.

The spelling of 3052895040 in words is "three billion, fifty-two million, eight hundred ninety-five thousand, forty".