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53024 = 251657
BaseRepresentation
bin1100111100100000
32200201212
430330200
53144044
61045252
7310406
oct147440
980655
1053024
1136924
1226828
131b19a
1415476
1510a9e
hexcf20

53024 has 12 divisors (see below), whose sum is σ = 104454. Its totient is φ = 26496.

The previous prime is 53017. The next prime is 53047. The reversal of 53024 is 42035.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 4624 = 220^2 + 68^2 .

It is an unprimeable number.

53024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 797 + ... + 860.

253024 is an apocalyptic number.

It is an amenable number.

53024 is a deficient number, since it is larger than the sum of its proper divisors (51430).

53024 is a wasteful number, since it uses less digits than its factorization.

53024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 53024 is about 230.2694074340. The cubic root of 53024 is about 37.5685265519.

Adding to 53024 its reverse (42035), we get a palindrome (95059).

It can be divided in two parts, 530 and 24, that multiplied together give a triangular number (12720 = T159).

The spelling of 53024 in words is "fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 1657 3314 6628 13256 26512 53024