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52563816 = 23369013
BaseRepresentation
bin1100100010000…
…0111101101000
310122220112000000
43020200331220
5101424020231
65114343000
71205533164
oct310407550
9118815000
1052563816
1127741a78
121572aa60
13ab75366
146da3ca4
1549346e6
hex3220f68

52563816 has 56 divisors (see below), whose sum is σ = 147784530. Its totient is φ = 17519328.

The previous prime is 52563811. The next prime is 52563821. The reversal of 52563816 is 61836525.

52563816 is a `hidden beast` number, since 5 + 2 + 5 + 638 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (52563811) and next prime (52563821).

It can be written as a sum of positive squares in only one way, i.e., 45562500 + 7001316 = 6750^2 + 2646^2 .

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 not an unprimeable number, because it can be changed into a prime (52563811) 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 13 ways as a sum of consecutive naturals, for example, 1326 + ... + 10338.

Almost surely, 252563816 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 52563816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73892265).

52563816 is an abundant number, since it is smaller than the sum of its proper divisors (95220714).

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

52563816 is an equidigital number, since it uses as much as digits as its factorization.

52563816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037 (or 9018 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 52563816 is about 7250.0907580526. The cubic root of 52563816 is about 374.5952753517.

The spelling of 52563816 in words is "fifty-two million, five hundred sixty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 9013 18026 27039 36052 54078 72104 81117 108156 162234 216312 243351 324468 486702 648936 730053 973404 1460106 1946808 2190159 2920212 4380318 5840424 6570477 8760636 13140954 17521272 26281908 52563816