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30976992 = 2534171937
BaseRepresentation
bin111011000101…
…0101111100000
32011021210110000
41312022233200
530412230432
63023540000
7524204634
oct166125740
964253400
1030976992
1116538522
12a45a600
1365578a7
144184dc4
152abd57c
hex1d8abe0

30976992 has 240 divisors, whose sum is σ = 104282640. Its totient is φ = 8957952.

The previous prime is 30976991. The next prime is 30977027. The reversal of 30976992 is 29967903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30976991) 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 39 ways as a sum of consecutive naturals, for example, 837198 + ... + 837234.

It is an arithmetic number, because the mean of its divisors is an integer number (434511).

Almost surely, 230976992 is an apocalyptic number.

30976992 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 30976992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52141320).

30976992 is an abundant number, since it is smaller than the sum of its proper divisors (73305648).

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

30976992 is a wasteful number, since it uses less digits than its factorization.

30976992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 30976992 is about 5565.6977999169. The cubic root of 30976992 is about 314.0603289224.

The spelling of 30976992 in words is "thirty million, nine hundred seventy-six thousand, nine hundred ninety-two".