[go: up one dir, main page]

Search a number
-
+
52564842 = 2331188493
BaseRepresentation
bin1100100010000…
…1001101101010
310122220120102000
43020201031222
5101424033332
65114351430
71205536161
oct310411552
9118816360
1052564842
1127742820
121572b576
13ab75975
146da43d8
154934b7c
hex322136a

52564842 has 32 divisors (see below), whose sum is σ = 127431360. Its totient is φ = 15928560.

The previous prime is 52564819. The next prime is 52564843. The reversal of 52564842 is 24846525.

It is a happy number.

52564842 is a `hidden beast` number, since 5 + 2 + 5 + 648 + 4 + 2 = 666.

It is a super-2 number, since 2×525648422 = 5526125228969928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52564797 and 52564806.

It is not an unprimeable number, because it can be changed into a prime (52564843) 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 15 ways as a sum of consecutive naturals, for example, 43653 + ... + 44840.

It is an arithmetic number, because the mean of its divisors is an integer number (3982230).

Almost surely, 252564842 is an apocalyptic number.

52564842 is an abundant number, since it is smaller than the sum of its proper divisors (74866518).

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

52564842 is a wasteful number, since it uses less digits than its factorization.

52564842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88515 (or 88509 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 52564842 is about 7250.1615154423. The cubic root of 52564842 is about 374.5977125939.

The spelling of 52564842 in words is "fifty-two million, five hundred sixty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 88493 176986 265479 530958 796437 973423 1592874 1946846 2389311 2920269 4778622 5840538 8760807 17521614 26282421 52564842