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47328 = 2531729
BaseRepresentation
bin1011100011100000
32101220220
423203200
53003303
61003040
7254661
oct134340
971826
1047328
1132616
1223480
1318708
1413368
15e053
hexb8e0

47328 has 48 divisors (see below), whose sum is σ = 136080. Its totient is φ = 14336.

The previous prime is 47317. The next prime is 47339. The reversal of 47328 is 82374.

It is an interprime number because it is at equal distance from previous prime (47317) and next prime (47339).

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 47298 and 47307.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1618 + ... + 1646.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

247328 is an apocalyptic number.

47328 is a gapful number since it is divisible by the number (48) 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 47328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040).

47328 is an abundant number, since it is smaller than the sum of its proper divisors (88752).

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

47328 is a wasteful number, since it uses less digits than its factorization.

47328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 51 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 47328 is about 217.5499942542. The cubic root of 47328 is about 36.1720162638.

The spelling of 47328 in words is "forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 464 493 544 696 816 928 986 1392 1479 1632 1972 2784 2958 3944 5916 7888 11832 15776 23664 47328