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52300314 = 2321133759
BaseRepresentation
bin1100011110000…
…0101000011010
310122102010112200
43013200220122
5101342102224
65104551030
71203355023
oct307405032
9118363480
1052300314
1127582000
1215622476
13aab2441
146d35c4a
1548d15c9
hex31e0a1a

52300314 has 96 divisors (see below), whose sum is σ = 130178880. Its totient is φ = 15158880.

The previous prime is 52300273. The next prime is 52300319. The reversal of 52300314 is 41300325.

52300314 is a `hidden beast` number, since 52 + 300 + 314 = 666.

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 (52300319) 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 47 ways as a sum of consecutive naturals, for example, 886417 + ... + 886475.

It is an arithmetic number, because the mean of its divisors is an integer number (1356030).

Almost surely, 252300314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52300314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65089440).

52300314 is an abundant number, since it is smaller than the sum of its proper divisors (77878566).

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

52300314 is a wasteful number, since it uses less digits than its factorization.

52300314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 52300314 is about 7231.8956021226. The cubic root of 52300314 is about 373.9682787398.

Adding to 52300314 its reverse (41300325), we get a palindrome (93600639).

The spelling of 52300314 in words is "fifty-two million, three hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 59 66 74 99 111 118 121 177 198 222 242 333 354 363 407 531 649 666 726 814 1062 1089 1221 1298 1331 1947 2178 2183 2442 2662 3663 3894 3993 4366 4477 5841 6549 7139 7326 7986 8954 11682 11979 13098 13431 14278 19647 21417 23958 24013 26862 39294 40293 42834 48026 49247 64251 72039 78529 80586 98494 128502 144078 147741 157058 216117 235587 264143 295482 432234 443223 471174 528286 706761 792429 886446 1413522 1584858 2377287 2905573 4754574 5811146 8716719 17433438 26150157 52300314