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52320312 = 233211312131
BaseRepresentation
bin1100011110010…
…1100000111000
310122110010222100
43013211200320
5101343222222
65105223400
71203500232
oct307454070
9118403870
1052320312
1127596030
1215631b60
13aabb585
146d3d252
1548d74ac
hex31e5838

52320312 has 96 divisors (see below), whose sum is σ = 159644160. Its totient is φ = 15336000.

The previous prime is 52320311. The next prime is 52320347. The reversal of 52320312 is 21302325.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52320311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23487 + ... + 25617.

It is an arithmetic number, because the mean of its divisors is an integer number (1662960).

Almost surely, 252320312 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 52320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79822080).

52320312 is an abundant number, since it is smaller than the sum of its proper divisors (107323848).

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

52320312 is a wasteful number, since it uses less digits than its factorization.

52320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2178 counting only the distinct ones).

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

The square root of 52320312 is about 7233.2780950272. The cubic root of 52320312 is about 374.0159372468.

Adding to 52320312 its reverse (21302325), we get a palindrome (73622637).

The spelling of 52320312 in words is "fifty-two million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2131 2232 2728 3069 4092 4262 6138 6393 8184 8524 12276 12786 17048 19179 23441 24552 25572 38358 46882 51144 66061 70323 76716 93764 132122 140646 153432 187528 198183 210969 264244 281292 396366 421938 528488 562584 594549 726671 792732 843876 1189098 1453342 1585464 1687752 2180013 2378196 2906684 4360026 4756392 5813368 6540039 8720052 13080078 17440104 26160156 52320312