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9252 = 2232257
BaseRepresentation
bin10010000100100
3110200200
42100210
5244002
6110500
735655
oct22044
913620
109252
116a51
125430
134299
14352c
152b1c
hex2424

9252 has 18 divisors (see below), whose sum is σ = 23478. Its totient is φ = 3072.

The previous prime is 9241. The next prime is 9257. The reversal of 9252 is 2529.

Adding to 9252 its reverse (2529), we get a triangular number (11781 = T153).

It can be divided in two parts, 92 and 52, that added together give a square (144 = 122).

It can be written as a sum of positive squares in only one way, i.e., 9216 + 36 = 96^2 + 6^2 .

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 an Ulam number.

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

9252 is an undulating number in base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93 + ... + 164.

29252 is an apocalyptic number.

It is an amenable number.

9252 is an abundant number, since it is smaller than the sum of its proper divisors (14226).

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

9252 is a wasteful number, since it uses less digits than its factorization.

9252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 262 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 9252 is about 96.1873172513. The cubic root of 9252 is about 20.9931950741.

The spelling of 9252 in words is "nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1542 2313 3084 4626 9252