Search a number
-
+
50880 = 263553
BaseRepresentation
bin1100011011000000
32120210110
430123000
53112010
61031320
7301224
oct143300
976713
1050880
1135255
1225540
131a20b
1414784
1510120
hexc6c0

50880 has 56 divisors (see below), whose sum is σ = 164592. Its totient is φ = 13312.

The previous prime is 50873. The next prime is 50891. The reversal of 50880 is 8805.

Added to its reverse (8805) it gives a triangular number (59685 = T345).

It is an unprimeable number.

50880 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 7 ways as a sum of consecutive naturals, for example, 934 + ... + 986.

250880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82296).

50880 is an abundant number, since it is smaller than the sum of its proper divisors (113712).

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

50880 is a wasteful number, since it uses less digits than its factorization.

50880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 50880 is about 225.5659548779. The cubic root of 50880 is about 37.0551891268.

Adding to 50880 its reverse (8805), we get a triangular number (59685 = T345).

The spelling of 50880 in words is "fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 848 960 1060 1272 1590 1696 2120 2544 3180 3392 4240 5088 6360 8480 10176 12720 16960 25440 50880