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BaseRepresentation
bin111101100101011100
3110211000200
4331211130
531033002
65223500
72100300
oct754534
9424020
10252252
11162580
12101b90
138aa80
1467d00
154eb1c
hex3d95c

252252 has 108 divisors (see below), whose sum is σ = 871416. Its totient is φ = 60480.

The previous prime is 252233. The next prime is 252253.

252252 is nontrivially palindromic in base 10.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19398 + ... + 19410.

2252252 is an apocalyptic number.

252252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708).

252252 is an abundant number, since it is smaller than the sum of its proper divisors (619164).

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

252252 is a wasteful number, since it uses less digits than its factorization.

252252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 252252 is about 502.2469512103. The cubic root of 252252 is about 63.1846434943.

The spelling of 252252 in words is "two hundred fifty-two thousand, two hundred fifty-two".