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947428896 = 25385911489
BaseRepresentation
bin111000011110001…
…001111000100000
32110000202101010010
4320132021320200
53420020211041
6234002404520
732323004241
oct7036117040
92400671103
10947428896
11446887397
12225360740
1312139171b
148db84cc8
1558299a16
hex38789e20

947428896 has 48 divisors (see below), whose sum is σ = 2490112800. Its totient is φ = 315414528.

The previous prime is 947428891. The next prime is 947428907. The reversal of 947428896 is 698824749.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (947428891) 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 7 ways as a sum of consecutive naturals, for example, 76720 + ... + 88208.

It is an arithmetic number, because the mean of its divisors is an integer number (51877350).

Almost surely, 2947428896 is an apocalyptic number.

947428896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

947428896 is an abundant number, since it is smaller than the sum of its proper divisors (1542683904).

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

947428896 is a wasteful number, since it uses less digits than its factorization.

947428896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12361 (or 12353 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 947428896 is about 30780.3329416691. The cubic root of 947428896 is about 982.1599229619.

The spelling of 947428896 in words is "nine hundred forty-seven million, four hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 859 1718 2577 3436 5154 6872 10308 11489 13744 20616 22978 27488 34467 41232 45956 68934 82464 91912 137868 183824 275736 367648 551472 1102944 9869051 19738102 29607153 39476204 59214306 78952408 118428612 157904816 236857224 315809632 473714448 947428896