Search a number
-
+
52412360 = 235721121317
BaseRepresentation
bin1100011111101…
…1111111001000
310122121211020112
43013323333020
5101404143420
65111213452
71204332500
oct307737710
9118554215
1052412360
1127649200
1215677288
13ab21440
146d64a00
1549048c5
hex31fbfc8

52412360 has 288 divisors, whose sum is σ = 171937080. Its totient is φ = 14192640.

The previous prime is 52412357. The next prime is 52412363. The reversal of 52412360 is 6321425.

It is an interprime number because it is at equal distance from previous prime (52412357) and next prime (52412363).

It can be written as a sum of positive squares in 4 ways, for example, as 39866596 + 12545764 = 6314^2 + 3542^2 .

It is not an unprimeable number, because it can be changed into a prime (52412363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3083072 + ... + 3083088.

Almost surely, 252412360 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 52412360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85968540).

52412360 is an abundant number, since it is smaller than the sum of its proper divisors (119524720).

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

52412360 is a wasteful number, since it uses less digits than its factorization.

52412360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 52412360 is about 7239.6381125026. The cubic root of 52412360 is about 374.2351462424.

Adding to 52412360 its reverse (6321425), we get a palindrome (58733785).

The spelling of 52412360 in words is "fifty-two million, four hundred twelve thousand, three hundred sixty".