Search a number
-
+
52202112 = 273672029
BaseRepresentation
bin1100011100100…
…0101010000000
310122020010211120
43013020222000
5101330431422
65102512240
71202465514
oct307105200
9118203746
1052202112
1127515246
1215595680
13aa79831
146d0c144
1548b245c
hex31c8a80

52202112 has 64 divisors (see below), whose sum is σ = 140800800. Its totient is φ = 17132544.

The previous prime is 52202099. The next prime is 52202113. The reversal of 52202112 is 21120225.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 52202091 and 52202100.

It is not an unprimeable number, because it can be changed into a prime (52202113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24714 + ... + 26742.

Almost surely, 252202112 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 52202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70400400).

52202112 is an abundant number, since it is smaller than the sum of its proper divisors (88598688).

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

52202112 is a wasteful number, since it uses less digits than its factorization.

52202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 52202112 is about 7225.1029058415. The cubic root of 52202112 is about 373.7340708266.

Adding to 52202112 its reverse (21120225), we get a palindrome (73322337).

The spelling of 52202112 in words is "fifty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2029 2144 3216 4058 4288 6087 6432 8116 8576 12174 12864 16232 24348 25728 32464 48696 64928 97392 129856 135943 194784 259712 271886 389568 407829 543772 779136 815658 1087544 1631316 2175088 3262632 4350176 6525264 8700352 13050528 17400704 26101056 52202112