Search a number
-
+
52548192 = 2532237933
BaseRepresentation
bin1100100001110…
…1001001100000
310122212201120100
43020131021200
5101423020232
65114142400
71205436504
oct310351140
9118781510
1052548192
1127731264
1215721a00
13ab6b208
146d9c304
15492ec7c
hex321d260

52548192 has 72 divisors (see below), whose sum is σ = 155950704. Its totient is φ = 16752384.

The previous prime is 52548191. The next prime is 52548211. The reversal of 52548192 is 29184525.

52548192 is a `hidden beast` number, since 525 + 48 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×525481922 = 5522624964937728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52548191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2658 + ... + 10590.

It is an arithmetic number, because the mean of its divisors is an integer number (2165982).

Almost surely, 252548192 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 52548192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77975352).

52548192 is an abundant number, since it is smaller than the sum of its proper divisors (103402512).

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

52548192 is a wasteful number, since it uses less digits than its factorization.

52548192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7972 (or 7961 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 52548192 is about 7249.0131742190. The cubic root of 52548192 is about 374.5581569370.

The spelling of 52548192 in words is "fifty-two million, five hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 7933 15866 23799 31732 47598 63464 71397 95196 126928 142794 182459 190392 253856 285588 364918 380784 547377 571176 729836 761568 1094754 1142352 1459672 1642131 2189508 2284704 2919344 3284262 4379016 5838688 6568524 8758032 13137048 17516064 26274096 52548192