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53342224 = 2413317809
BaseRepresentation
bin1100101101111…
…1000000010000
310201101001202221
43023133000100
5102123422344
65143150424
71215254455
oct313370020
9121331687
1053342224
1128123891
1215a45414
13b088760
14712782c
154a3a184
hex32df010

53342224 has 40 divisors (see below), whose sum is σ = 111789720. Its totient is φ = 24511488.

The previous prime is 53342213. The next prime is 53342297. The reversal of 53342224 is 42224335.

It can be written as a sum of positive squares in 4 ways, for example, as 1040400 + 52301824 = 1020^2 + 7232^2 .

It is a super-2 number, since 2×533422242 = 5690785722532352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 65532 + ... + 66340.

It is an arithmetic number, because the mean of its divisors is an integer number (2794743).

Almost surely, 253342224 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 53342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55894860).

53342224 is an abundant number, since it is smaller than the sum of its proper divisors (58447496).

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

53342224 is a wasteful number, since it uses less digits than its factorization.

53342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1141 counting only the distinct ones).

The product of its digits is 5760, while the sum is 25.

The square root of 53342224 is about 7303.5761103722. The cubic root of 53342224 is about 376.4353264844.

Adding to 53342224 its reverse (42224335), we get a palindrome (95566559).

The spelling of 53342224 in words is "fifty-three million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 317 634 809 1268 1618 2536 3236 4121 5072 6472 8242 10517 12944 16484 21034 32968 42068 65936 84136 168272 256453 512906 1025812 2051624 3333889 4103248 6667778 13335556 26671112 53342224