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53008935 = 357310303
BaseRepresentation
bin1100101000110…
…1101000100111
310200202010120220
43022031220213
5102032241220
65132055423
71212366000
oct312155047
9120663526
1053008935
1127a16441
1215904573
13ac9cb45
14707c1a7
1549c1540
hex328da27

53008935 has 32 divisors (see below), whose sum is σ = 98918400. Its totient is φ = 24230304.

The previous prime is 53008931. The next prime is 53008961. The reversal of 53008935 is 53980035.

53008935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53008935 - 22 = 53008931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 53008896 and 53008905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53008931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7 + ... + 10296.

It is an arithmetic number, because the mean of its divisors is an integer number (3091200).

Almost surely, 253008935 is an apocalyptic number.

53008935 is a deficient number, since it is larger than the sum of its proper divisors (45909465).

53008935 is a wasteful number, since it uses less digits than its factorization.

53008935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 53008935 is about 7280.7235217388. The cubic root of 53008935 is about 375.6496826720.

The spelling of 53008935 in words is "fifty-three million, eight thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 343 735 1029 1715 5145 10303 30909 51515 72121 154545 216363 360605 504847 1081815 1514541 2524235 3533929 7572705 10601787 17669645 53008935