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55872 = 263297
BaseRepresentation
bin1101101001000000
32211122100
431221000
53241442
61110400
7321615
oct155100
984570
1055872
1138a83
1228400
131c57b
141650c
151184c
hexda40

55872 has 42 divisors (see below), whose sum is σ = 161798. Its totient is φ = 18432.

The previous prime is 55871. The next prime is 55889. The reversal of 55872 is 27855.

It is a happy number.

55872 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 9216 = 216^2 + 96^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528 + ... + 624.

255872 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 55872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80899).

55872 is an abundant number, since it is smaller than the sum of its proper divisors (105926).

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

55872 is a wasteful number, since it uses less digits than its factorization.

55872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 55872 is about 236.3725872431. The cubic root of 55872 is about 38.2294519906.

It can be divided in two parts, 558 and 72, that added together give a triangular number (630 = T35).

The spelling of 55872 in words is "fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 13968 18624 27936 55872