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33525252 = 223611497
BaseRepresentation
bin111111111100…
…0111000000100
32100002021000000
41333320320010
532040302002
63154321300
7554650155
oct177707004
970067000
1033525252
1117a19022
12b289230
136c3a737
14464992c
152e2361c
hex1ff8e04

33525252 has 42 divisors (see below), whose sum is σ = 87971198. Its totient is φ = 11174112.

The previous prime is 33525227. The next prime is 33525257. The reversal of 33525252 is 25252533.

It can be written as a sum of positive squares in only one way, i.e., 29746116 + 3779136 = 5454^2 + 1944^2 .

It is a super-2 number, since 2×335252522 = 2247885043327008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (33525257) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2833 + ... + 8664.

Almost surely, 233525252 is an apocalyptic number.

It is an amenable number.

33525252 is an abundant number, since it is smaller than the sum of its proper divisors (54445946).

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

33525252 is a wasteful number, since it uses less digits than its factorization.

33525252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11519 (or 11502 counting only the distinct ones).

The product of its digits is 9000, while the sum is 27.

The square root of 33525252 is about 5790.0994810107. The cubic root of 33525252 is about 322.4462647085.

Adding to 33525252 its reverse (25252533), we get a palindrome (58777785).

The spelling of 33525252 in words is "thirty-three million, five hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 11497 22994 34491 45988 68982 103473 137964 206946 310419 413892 620838 931257 1241676 1862514 2793771 3725028 5587542 8381313 11175084 16762626 33525252