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252412314 = 237112412267
BaseRepresentation
bin11110000101110…
…00000110011010
3122120221212121020
433002320012122
51004104143224
641014023310
76153316650
oct1702700632
9576855536
10252412314
1111a531120
1270647b36
13403a86cb
1425746dd0
151725dc79
hexf0b819a

252412314 has 64 divisors (see below), whose sum is σ = 632282112. Its totient is φ = 65260800.

The previous prime is 252412309. The next prime is 252412351. The reversal of 252412314 is 413214252.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 110209 + ... + 112475.

It is an arithmetic number, because the mean of its divisors is an integer number (9879408).

Almost surely, 2252412314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252412314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316141056).

252412314 is an abundant number, since it is smaller than the sum of its proper divisors (379869798).

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

252412314 is a wasteful number, since it uses less digits than its factorization.

252412314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531.

The product of its digits is 1920, while the sum is 24.

The square root of 252412314 is about 15887.4892289499. The cubic root of 252412314 is about 631.9802592910.

Adding to 252412314 its reverse (413214252), we get a palindrome (665626566).

The spelling of 252412314 in words is "two hundred fifty-two million, four hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 241 462 482 723 1446 1687 2267 2651 3374 4534 5061 5302 6801 7953 10122 13602 15869 15906 18557 24937 31738 37114 47607 49874 55671 74811 95214 111342 149622 174559 349118 523677 546347 1047354 1092694 1639041 3278082 3824429 6009817 7648858 11473287 12019634 18029451 22946574 36058902 42068719 84137438 126206157 252412314