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51984 = 2432192
BaseRepresentation
bin1100101100010000
32122022100
430230100
53130414
61040400
7304362
oct145420
978270
1051984
1136069
1226100
131a87a
1414d32
1510609
hexcb10

51984 has 45 divisors (see below), whose sum is σ = 153543. Its totient is φ = 16416.

The previous prime is 51977. The next prime is 51991. The reversal of 51984 is 48915.

51984 = T227 + T228.

The square root of 51984 is 228.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (51977) and next prime (51991).

Its product of digits (1440) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 16.

It is an unprimeable number.

51984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2727 + ... + 2745.

251984 is an apocalyptic number.

51984 is the 228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51984

51984 is an abundant number, since it is smaller than the sum of its proper divisors (101559).

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

51984 is a wasteful number, since it uses less digits than its factorization.

51984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 24 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The cubic root of 51984 is about 37.3212829589.

It can be divided in two parts, 51 and 984, that added together give a triangular number (1035 = T45).

The spelling of 51984 in words is "fifty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 4332 5776 6498 8664 12996 17328 25992 51984