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52083213 = 37131071783
BaseRepresentation
bin1100011010101…
…1101000001101
310122000002201220
43012223220031
5101313130323
65100153553
71201462050
oct306535015
9118002656
1052083213
1127443986
12155388b9
13aa37690
146cbaa97
15488c0e3
hex31aba0d

52083213 has 32 divisors (see below), whose sum is σ = 86317056. Its totient is φ = 27200448.

The previous prime is 52083197. The next prime is 52083221. The reversal of 52083213 is 31238025.

52083213 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 52083213 - 24 = 52083197 is a prime.

It is a super-2 number, since 2×520832132 = 5425322152806738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52083113) 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, 28320 + ... + 30102.

It is an arithmetic number, because the mean of its divisors is an integer number (2697408).

Almost surely, 252083213 is an apocalyptic number.

It is an amenable number.

52083213 is a deficient number, since it is larger than the sum of its proper divisors (34233843).

52083213 is a wasteful number, since it uses less digits than its factorization.

52083213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 52083213 is about 7216.8700279276. The cubic root of 52083213 is about 373.4501079396.

The spelling of 52083213 in words is "fifty-two million, eighty-three thousand, two hundred thirteen".

Divisors: 1 3 7 13 21 39 91 107 273 321 749 1391 1783 2247 4173 5349 9737 12481 23179 29211 37443 69537 162253 190781 486759 572343 1335467 2480153 4006401 7440459 17361071 52083213