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53033141 = 722937321
BaseRepresentation
bin1100101001001…
…1100010110101
310200210100210102
43022103202311
5102034030031
65132403445
71212526400
oct312234265
9120710712
1053033141
1127a32647
1215916585
13acaab75
147086d37
1549c87cb
hex32938b5

53033141 has 12 divisors (see below), whose sum is σ = 63820620. Its totient is φ = 43888320.

The previous prime is 53033137. The next prime is 53033171. The reversal of 53033141 is 14133035.

It is a happy number.

53033141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36663025 + 16370116 = 6055^2 + 4046^2 .

It is not a de Polignac number, because 53033141 - 22 = 53033137 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53033171) 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 11 ways as a sum of consecutive naturals, for example, 17240 + ... + 20081.

It is an arithmetic number, because the mean of its divisors is an integer number (5318385).

Almost surely, 253033141 is an apocalyptic number.

It is an amenable number.

53033141 is a deficient number, since it is larger than the sum of its proper divisors (10787479).

53033141 is a wasteful number, since it uses less digits than its factorization.

53033141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37364 (or 37357 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 53033141 is about 7282.3856667990. The cubic root of 53033141 is about 375.7068528610.

Adding to 53033141 its reverse (14133035), we get a palindrome (67166176).

The spelling of 53033141 in words is "fifty-three million, thirty-three thousand, one hundred forty-one".

Divisors: 1 7 29 49 203 1421 37321 261247 1082309 1828729 7576163 53033141