Search a number
-
+
52605150 = 23521353509
BaseRepresentation
bin1100100010101…
…1000011011110
310122222121200220
43020223003132
5101431331100
65115302210
71206064533
oct310530336
9118877626
1052605150
1127770034
121574a966
13ab8b110
146db4d8a
154941aa0
hex322b0de

52605150 has 96 divisors (see below), whose sum is σ = 143428320. Its totient is φ = 12679680.

The previous prime is 52605149. The next prime is 52605197. The reversal of 52605150 is 5150625.

52605150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52605150.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 103096 + ... + 103604.

It is an arithmetic number, because the mean of its divisors is an integer number (1494045).

Almost surely, 252605150 is an apocalyptic number.

52605150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52605150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71714160).

52605150 is an abundant number, since it is smaller than the sum of its proper divisors (90823170).

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

52605150 is a wasteful number, since it uses less digits than its factorization.

52605150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 52605150 is about 7252.9407828825. The cubic root of 52605150 is about 374.6934383437.

Adding to 52605150 its reverse (5150625), we get a palindrome (57755775).

The spelling of 52605150 in words is "fifty-two million, six hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 53 65 75 78 106 130 150 159 195 265 318 325 390 509 530 650 689 795 975 1018 1325 1378 1527 1590 1950 2067 2545 2650 3054 3445 3975 4134 5090 6617 6890 7635 7950 10335 12725 13234 15270 17225 19851 20670 25450 26977 33085 34450 38175 39702 51675 53954 66170 76350 80931 99255 103350 134885 161862 165425 198510 269770 330850 350701 404655 496275 674425 701402 809310 992550 1052103 1348850 1753505 2023275 2104206 3507010 4046550 5260515 8767525 10521030 17535050 26302575 52605150