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BaseRepresentation
bin11111100
3100100
43330
52002
61100
7510
oct374
9310
10252
1120a
12190
13165
14140
1511c
hexfc

• 252 can be written using four 4's: 252 has 18 divisors (see below), whose sum is σ = 728. Its totient is φ = 72.

The previous prime is 251. The next prime is 257.

252 is nontrivially palindromic in base 5 and base 10.

252 is a nontrivial binomial coefficient, being equal to C(10, 5).

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 (9).

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

252 is an undulating number in base 10.

It is a plaindrome in base 15.

It is a nialpdrome in base 2, base 4, base 6, base 7, base 9 and base 16.

It is a zygodrome in base 2 and base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251) 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, 33 + ... + 39.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364).

252 is an abundant number, since it is smaller than the sum of its proper divisors (476).

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

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

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

The sum of its prime factors is 17 (or 12 counting only the distinct ones).

The product of its digits is 20, while the sum is 9.

The square root of 252 is about 15.8745078664. The cubic root of 252 is about 6.3163595977.

Adding to 252 its product of digits (20), we get a palindrome (272).

Subtracting from 252 its product of digits (20), we obtain a palindrome (232).

It can be divided in two parts, 25 and 2, that added together give a cube (27 = 33).

The spelling of 252 in words is "two hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252