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52541856 = 2532241757
BaseRepresentation
bin1100100001101…
…1100110100000
310122212101212200
43020123212200
5101422314411
65114053200
71205412153
oct310334640
9118771780
1052541856
1127727524
121571a200
13ab68373
146d99c9a
15492ce56
hex321b9a0

52541856 has 72 divisors (see below), whose sum is σ = 150234084. Its totient is φ = 17418240.

The previous prime is 52541843. The next prime is 52541857. The reversal of 52541856 is 65814525.

It can be written as a sum of positive squares in 2 ways, for example, as 50637456 + 1904400 = 7116^2 + 1380^2 .

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

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 52541856.

It is not an unprimeable number, because it can be changed into a prime (52541857) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 69030 + ... + 69786.

Almost surely, 252541856 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 52541856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75117042).

52541856 is an abundant number, since it is smaller than the sum of its proper divisors (97692228).

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

52541856 is a wasteful number, since it uses less digits than its factorization.

52541856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1003 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 52541856 is about 7248.5761360422. The cubic root of 52541856 is about 374.5431022112.

The spelling of 52541856 in words is "fifty-two million, five hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 241 288 482 723 757 964 1446 1514 1928 2169 2271 2892 3028 3856 4338 4542 5784 6056 6813 7712 8676 9084 11568 12112 13626 17352 18168 23136 24224 27252 34704 36336 54504 69408 72672 109008 182437 218016 364874 547311 729748 1094622 1459496 1641933 2189244 2918992 3283866 4378488 5837984 6567732 8756976 13135464 17513952 26270928 52541856