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5652 = 2232157
BaseRepresentation
bin1011000010100
321202100
41120110
5140102
642100
722323
oct13024
97670
105652
114279
123330
13275a
1420ba
151a1c
hex1614

5652 has 18 divisors (see below), whose sum is σ = 14378. Its totient is φ = 1872.

The previous prime is 5651. The next prime is 5653. The reversal of 5652 is 2565.

It is an interprime number because it is at equal distance from previous prime (5651) and next prime (5653).

It can be written as a sum of positive squares in only one way, i.e., 4356 + 1296 = 66^2 + 36^2 .

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 6 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5651) 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, 43 + ... + 114.

It is an amenable number.

5652 is an abundant number, since it is smaller than the sum of its proper divisors (8726).

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

5652 is a wasteful number, since it uses less digits than its factorization.

5652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 162 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 5652 is about 75.1797845169. The cubic root of 5652 is about 17.8128762617.

The spelling of 5652 in words is "five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652