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30823056 = 24321122961
BaseRepresentation
bin111010110010…
…1001010010000
32010222222021200
41311211022100
530342314211
63020351200
7522664065
oct165451220
963888250
1030823056
1116442900
12a3a5500
1365027c4
144144c6c
152a8cb56
hex1d65290

30823056 has 180 divisors, whose sum is σ = 99694140. Its totient is φ = 8870400.

The previous prime is 30823043. The next prime is 30823061. The reversal of 30823056 is 65032803.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 23853456 = 2640^2 + 4884^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505266 + ... + 505326.

Almost surely, 230823056 is an apocalyptic number.

30823056 is a gapful number since it is divisible by the number (36) 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 30823056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49847070).

30823056 is an abundant number, since it is smaller than the sum of its proper divisors (68871084).

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

30823056 is a wasteful number, since it uses less digits than its factorization.

30823056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30823056 is about 5551.8515830307. The cubic root of 30823056 is about 313.5392379327.

Adding to 30823056 its reverse (65032803), we get a palindrome (95855859).

The spelling of 30823056 in words is "thirty million, eight hundred twenty-three thousand, fifty-six".