Search a number
-
+
52084368 = 24327163317
BaseRepresentation
bin1100011010101…
…1111010010000
310122000011022200
43012223322100
5101313144433
65100203200
71201465320
oct306537220
9118004280
1052084368
1127444836
1215539500
13aa3806b
146cbb280
15488c613
hex31abe90

52084368 has 120 divisors (see below), whose sum is σ = 168138048. Its totient is φ = 14743296.

The previous prime is 52084343. The next prime is 52084369. The reversal of 52084368 is 86348025.

52084368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52084369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 164146 + ... + 164462.

Almost surely, 252084368 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 52084368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84069024).

52084368 is an abundant number, since it is smaller than the sum of its proper divisors (116053680).

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

52084368 is a wasteful number, since it uses less digits than its factorization.

52084368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 52084368 is about 7216.9500483237. The cubic root of 52084368 is about 373.4528684688.

The spelling of 52084368 in words is "fifty-two million, eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 163 168 252 317 326 336 489 504 634 652 951 978 1008 1141 1268 1304 1467 1902 1956 2219 2282 2536 2608 2853 2934 3423 3804 3912 4438 4564 5072 5706 5868 6657 6846 7608 7824 8876 9128 10269 11412 11736 13314 13692 15216 17752 18256 19971 20538 22824 23472 26628 27384 35504 39942 41076 45648 51671 53256 54768 79884 82152 103342 106512 155013 159768 164304 206684 310026 319536 361697 413368 465039 620052 723394 826736 930078 1085091 1240104 1446788 1860156 2170182 2480208 2893576 3255273 3720312 4340364 5787152 6510546 7440624 8680728 13021092 17361456 26042184 52084368