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3090152832 = 273132172801
BaseRepresentation
bin1011100000101111…
…1111110110000000
321222100200000202220
42320023333312000
522312034342312
61230344411040
7136401602634
oct27013776600
97870600686
103090152832
111346346618
12722a76a80
133a328ac00
14214592dc4
15131450c8c
hexb82ffd80

3090152832 has 192 divisors, whose sum is σ = 9414383760. Its totient is φ = 894566400.

The previous prime is 3090152827. The next prime is 3090152839. The reversal of 3090152832 is 2382510903.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 3090152793 and 3090152802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3090152839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101832 + ... + 1104632.

Almost surely, 23090152832 is an apocalyptic number.

3090152832 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 3090152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707191880).

3090152832 is an abundant number, since it is smaller than the sum of its proper divisors (6324230928).

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

3090152832 is a wasteful number, since it uses less digits than its factorization.

3090152832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3090152832 is about 55589.1431126618. The cubic root of 3090152832 is about 1456.5542107875.

The spelling of 3090152832 in words is "three billion, ninety million, one hundred fifty-two thousand, eight hundred thirty-two".