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47328864 = 2531144819
BaseRepresentation
bin1011010010001…
…0111001100000
310022001112222220
42310202321200
544104010424
64410231040
71113201012
oct264427140
9108045886
1047328864
1124796970
1213a25480
139a6165b
1464001b2
15424d579
hex2d22e60

47328864 has 48 divisors (see below), whose sum is σ = 135535680. Its totient is φ = 14341760.

The previous prime is 47328823. The next prime is 47328881. The reversal of 47328864 is 46882374.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21354 + ... + 23465.

It is an arithmetic number, because the mean of its divisors is an integer number (2823660).

Almost surely, 247328864 is an apocalyptic number.

47328864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

47328864 is an abundant number, since it is smaller than the sum of its proper divisors (88206816).

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

47328864 is a wasteful number, since it uses less digits than its factorization.

47328864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44843 (or 44835 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 47328864 is about 6879.5976626544. The cubic root of 47328864 is about 361.7223637620.

The spelling of 47328864 in words is "forty-seven million, three hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 44819 89638 134457 179276 268914 358552 493009 537828 717104 986018 1075656 1434208 1479027 1972036 2151312 2958054 3944072 4302624 5916108 7888144 11832216 15776288 23664432 47328864