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4964 = 221773
BaseRepresentation
bin1001101100100
320210212
41031210
5124324
634552
720321
oct11544
96725
104964
113803
122a58
13234b
141b48
15170e
hex1364

4964 has 12 divisors (see below), whose sum is σ = 9324. Its totient is φ = 2304.

The previous prime is 4957. The next prime is 4967. The reversal of 4964 is 4694.

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 1600 = 58^2 + 40^2 .

It is a plaindrome in base 13.

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 4964.

It is not an unprimeable number, because it can be changed into a prime (4967) by changing a digit.

4964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32 + ... + 104.

It is an arithmetic number, because the mean of its divisors is an integer number (777).

It is an amenable number.

4964 is a deficient number, since it is larger than the sum of its proper divisors (4360).

4964 is a wasteful number, since it uses less digits than its factorization.

4964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 4964 is about 70.4556598152. The cubic root of 4964 is about 17.0586211536.

It can be divided in two parts, 49 and 64, that multiplied together give a square (3136 = 562).

The spelling of 4964 in words is "four thousand, nine hundred sixty-four".

Divisors: 1 2 4 17 34 68 73 146 292 1241 2482 4964