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4872 = 233729
BaseRepresentation
bin1001100001000
320200110
41030020
5123442
634320
720130
oct11410
96613
104872
11372a
1229a0
1322aa
141ac0
15169c
hex1308

4872 has 32 divisors (see below), whose sum is σ = 14400. Its totient is φ = 1344.

The previous prime is 4871. The next prime is 4877. The reversal of 4872 is 2784.

Subtracting from 4872 its sum of digits (21), we obtain a triangular number (4851 = T98).

4872 divided by its sum of digits (21) gives a palindrome (232).

It can be divided in two parts, 48 and 72, that added together give a triangular number (120 = T15).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

4872 is a modest number, since divided by 72 gives 48 as remainder.

It is a plaindrome in base 13 and base 15.

It is a zygodrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4872.

It is not an unprimeable number, because it can be changed into a prime (4871) 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, 154 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (450).

24872 is an apocalyptic number.

4872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200).

4872 is an abundant number, since it is smaller than the sum of its proper divisors (9528).

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

4872 is a wasteful number, since it uses less digits than its factorization.

4872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 41 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 4872 is about 69.7997134665. The cubic root of 4872 is about 16.9525783358.

The spelling of 4872 in words is "four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872