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2752 = 2643
BaseRepresentation
bin101011000000
310202221
4223000
542002
620424
711011
oct5300
93687
102752
112082
121714
131339
141008
15c37
hexac0

2752 has 14 divisors (see below), whose sum is σ = 5588. Its totient is φ = 1344.

The previous prime is 2749. The next prime is 2753. The reversal of 2752 is 2572.

It is a happy number.

2752 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 13.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43 + ... + 85.

2752 is the 43-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794).

2752 is an abundant number, since it is smaller than the sum of its proper divisors (2836).

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

2752 is an equidigital number, since it uses as much as digits as its factorization.

2752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 45 counting only the distinct ones).

The product of its digits is 140, while the sum is 16.

The square root of 2752 is about 52.4595081944. The cubic root of 2752 is about 14.0135922415.

The spelling of 2752 in words is "two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 2752