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47964 = 2237571
BaseRepresentation
bin1011101101011100
32102210110
423231130
53013324
61010020
7256560
oct135534
972713
1047964
1133044
1223910
1318aa7
14136a0
15e329
hexbb5c

47964 has 24 divisors (see below), whose sum is σ = 128128. Its totient is φ = 13680.

The previous prime is 47963. The next prime is 47969. The reversal of 47964 is 46974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 369.

247964 is an apocalyptic number.

It is an amenable number.

47964 is an abundant number, since it is smaller than the sum of its proper divisors (80164).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64064).

47964 is a wasteful number, since it uses less digits than its factorization.

47964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 583 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 47964 is about 219.0068492080. The cubic root of 47964 is about 36.3333239813. Note that the first 4 decimals are identical.

Subtracting from 47964 its reverse (46974), we obtain a triangular number (990 = T44).

The spelling of 47964 in words is "forty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 571 1142 1713 2284 3426 3997 6852 7994 11991 15988 23982 47964