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53328033 = 32114773157
BaseRepresentation
bin1100101101101…
…1100010100001
310201100100022100
43023123202201
5102122444113
65143001013
71215165213
oct313334241
9121310270
1053328033
1128114160
1215a39169
13b082165
1471225b3
154a35d73
hex32db8a1

53328033 has 48 divisors (see below), whose sum is σ = 87549696. Its totient is φ = 31000320.

The previous prime is 53327987. The next prime is 53328043. The reversal of 53328033 is 33082335.

It is a happy number.

53328033 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 53328033 - 220 = 52279457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 53327988 and 53328006.

It is not an unprimeable number, because it can be changed into a prime (53328043) 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 47 ways as a sum of consecutive naturals, for example, 339591 + ... + 339747.

It is an arithmetic number, because the mean of its divisors is an integer number (1823952).

Almost surely, 253328033 is an apocalyptic number.

It is an amenable number.

53328033 is a deficient number, since it is larger than the sum of its proper divisors (34221663).

53328033 is a wasteful number, since it uses less digits than its factorization.

53328033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 53328033 is about 7302.6045353696. The cubic root of 53328033 is about 376.4019416277.

The spelling of 53328033 in words is "fifty-three million, three hundred twenty-eight thousand, thirty-three".

Divisors: 1 3 9 11 33 47 73 99 141 157 219 423 471 517 657 803 1413 1551 1727 2409 3431 4653 5181 7227 7379 10293 11461 15543 22137 30879 34383 37741 66411 81169 103149 113223 126071 243507 339669 378213 538667 730521 1134639 1616001 4848003 5925337 17776011 53328033