Search a number
-
+
52614312 = 2335973509
BaseRepresentation
bin1100100010110…
…1010010101000
310200000002021020
43020231102220
5101432124222
65115412440
71206133332
oct310552250
9120002236
1052614312
1127776a03
1215754120
13ab9233a
146db8452
15494465c
hex322d4a8

52614312 has 64 divisors (see below), whose sum is σ = 135864000. Its totient is φ = 16971264.

The previous prime is 52614299. The next prime is 52614329. The reversal of 52614312 is 21341625.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 103114 + ... + 103622.

It is an arithmetic number, because the mean of its divisors is an integer number (2122875).

Almost surely, 252614312 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 52614312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67932000).

52614312 is an abundant number, since it is smaller than the sum of its proper divisors (83249688).

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

52614312 is a wasteful number, since it uses less digits than its factorization.

52614312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 52614312 is about 7253.5723612576. The cubic root of 52614312 is about 374.7151899656.

Adding to 52614312 its reverse (21341625), we get a palindrome (73955937).

The spelling of 52614312 in words is "fifty-two million, six hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 59 73 118 146 177 219 236 292 354 438 472 509 584 708 876 1018 1416 1527 1752 2036 3054 4072 4307 6108 8614 12216 12921 17228 25842 30031 34456 37157 51684 60062 74314 90093 103368 111471 120124 148628 180186 222942 240248 297256 360372 445884 720744 891768 2192263 4384526 6576789 8769052 13153578 17538104 26307156 52614312