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252035124 = 223112517607
BaseRepresentation
bin11110000010111…
…00000000110100
3122120020201012020
433001130000310
51004010110444
641001553140
76150156165
oct1701340064
9576221166
10252035124
1111a2a37a0
12704a57b0
13402a5b13
142568976c
15171d7119
hexf05c034

252035124 has 48 divisors (see below), whose sum is σ = 644184576. Its totient is φ = 76060000.

The previous prime is 252035123. The next prime is 252035131. The reversal of 252035124 is 421530252.

It is a junction number, because it is equal to n+sod(n) for n = 252035094 and 252035103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252035123) 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 15 ways as a sum of consecutive naturals, for example, 29329 + ... + 36935.

It is an arithmetic number, because the mean of its divisors is an integer number (13420512).

Almost surely, 2252035124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252035124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322092288).

252035124 is an abundant number, since it is smaller than the sum of its proper divisors (392149452).

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

252035124 is a wasteful number, since it uses less digits than its factorization.

252035124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 7874 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 252035124 is about 15875.6141298534. The cubic root of 252035124 is about 631.6653044095.

Adding to 252035124 its reverse (421530252), we get a palindrome (673565376).

The spelling of 252035124 in words is "two hundred fifty-two million, thirty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 251 502 753 1004 1506 2761 3012 5522 7607 8283 11044 15214 16566 22821 30428 33132 45642 83677 91284 167354 251031 334708 502062 1004124 1909357 3818714 5728071 7637428 11456142 21002927 22912284 42005854 63008781 84011708 126017562 252035124