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4788 = 2232719
BaseRepresentation
bin1001010110100
320120100
41022310
5123123
634100
716650
oct11264
96510
104788
113663
122930
132244
141a60
151643
hex12b4

4788 has 36 divisors (see below), whose sum is σ = 14560. Its totient is φ = 1296.

The previous prime is 4787. The next prime is 4789. The reversal of 4788 is 8874.

Subtracting from 4788 its sum of digits (27), we obtain a square (4761 = 692).

4788 = 93 + 103 + ... + 123.

It is a happy number.

4788 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (4787) and next prime (4789).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

4788 is a repfigit number.

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243 + ... + 261.

24788 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 4788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280).

4788 is an abundant number, since it is smaller than the sum of its proper divisors (9772).

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

4788 is a wasteful number, since it uses less digits than its factorization.

4788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 31 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 4788 is about 69.1953755680. The cubic root of 4788 is about 16.8545843643.

The spelling of 4788 in words is "four thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788