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30947456 = 27415897
BaseRepresentation
bin111011000001…
…1100010000000
32011020021221002
41312003202000
530410304311
63023151132
7524022551
oct166034200
964207832
1030947456
1116518311
12a4454a8
136547307
144178328
152ab493b
hex1d83880

30947456 has 32 divisors (see below), whose sum is σ = 63167580. Its totient is φ = 15093760.

The previous prime is 30947453. The next prime is 30947459. The reversal of 30947456 is 65474903.

It is an interprime number because it is at equal distance from previous prime (30947453) and next prime (30947459).

It can be written as a sum of positive squares in 2 ways, for example, as 30913600 + 33856 = 5560^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (30947453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2300 + ... + 8196.

Almost surely, 230947456 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 30947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31583790).

30947456 is an abundant number, since it is smaller than the sum of its proper divisors (32220124).

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

30947456 is an equidigital number, since it uses as much as digits as its factorization.

30947456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 30947456 is about 5563.0437711742. The cubic root of 30947456 is about 313.9604802387.

The spelling of 30947456 in words is "thirty million, nine hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 5897 11794 23588 47176 94352 188704 241777 377408 483554 754816 967108 1934216 3868432 7736864 15473728 30947456