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252404306 = 27112374027
BaseRepresentation
bin11110000101101…
…10001001010010
3122120221110121122
433002312021102
51004103414211
641013522242
76153254420
oct1702661122
9576843548
10252404306
1111a526100
1270643382
13403a4b7b
1425744110
151725b6db
hexf0b6252

252404306 has 48 divisors (see below), whose sum is σ = 488580288. Its totient is φ = 95657760.

The previous prime is 252404297. The next prime is 252404309. The reversal of 252404306 is 603404252.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252404309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60665 + ... + 64691.

It is an arithmetic number, because the mean of its divisors is an integer number (10178756).

Almost surely, 2252404306 is an apocalyptic number.

252404306 is a deficient number, since it is larger than the sum of its proper divisors (236175982).

252404306 is a wasteful number, since it uses less digits than its factorization.

252404306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 252404306 is about 15887.2372047502. The cubic root of 252404306 is about 631.9735758460.

Adding to 252404306 its reverse (603404252), we get a palindrome (855808558).

The spelling of 252404306 in words is "two hundred fifty-two million, four hundred four thousand, three hundred six".

Divisors: 1 2 7 11 14 22 37 74 77 121 154 242 259 407 518 814 847 1694 2849 4027 4477 5698 8054 8954 28189 31339 44297 56378 62678 88594 148999 297998 310079 487267 620158 974534 1042993 1638989 2085986 3277978 3410869 6821738 11472923 18028879 22945846 36057758 126202153 252404306