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4932 = 2232137
BaseRepresentation
bin1001101000100
320202200
41031010
5124212
634500
720244
oct11504
96680
104932
113784
122a30
132325
141b24
1516dc
hex1344

4932 has 18 divisors (see below), whose sum is σ = 12558. Its totient is φ = 1632.

The previous prime is 4931. The next prime is 4933. The reversal of 4932 is 2394.

It is an interprime number because it is at equal distance from previous prime (4931) and next prime (4933).

It can be written as a sum of positive squares in only one way, i.e., 4356 + 576 = 66^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 46 + 35 + 92 + 29 .

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4932.

It is not an unprimeable number, because it can be changed into a prime (4931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33 + ... + 104.

It is an amenable number.

4932 is an abundant number, since it is smaller than the sum of its proper divisors (7626).

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

4932 is a wasteful number, since it uses less digits than its factorization.

4932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 4932 is about 70.2281994643. The cubic root of 4932 is about 17.0218864586.

Adding to 4932 its sum of digits (18), we get a triangular number (4950 = T99).

It can be divided in two parts, 49 and 32, that added together give a 4-th power (81 = 34).

The spelling of 4932 in words is "four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932