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5205333 = 37247873
BaseRepresentation
bin10011110110110101010101
3100210110101010
4103312311111
52313032313
6303322433
762146620
oct23666525
910713333
105205333
112a35931
1218b0419
1311033a3
14996db7
156cc4c3
hex4f6d55

5205333 has 8 divisors (see below), whose sum is σ = 7931968. Its totient is φ = 2974464.

The previous prime is 5205329. The next prime is 5205341. The reversal of 5205333 is 3335025.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5205333 - 22 = 5205329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 247873 = 5205333 / (5 + 2 + 0 + 5 + 3 + 3 + 3).

It is a Duffinian number.

It is a Curzon number.

5205333 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123916 + ... + 123957.

It is an arithmetic number, because the mean of its divisors is an integer number (991496).

Almost surely, 25205333 is an apocalyptic number.

It is an amenable number.

5205333 is a deficient number, since it is larger than the sum of its proper divisors (2726635).

5205333 is a wasteful number, since it uses less digits than its factorization.

5205333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247883.

The product of its (nonzero) digits is 1350, while the sum is 21.

The square root of 5205333 is about 2281.5198881447. The cubic root of 5205333 is about 173.3070271551.

The spelling of 5205333 in words is "five million, two hundred five thousand, three hundred thirty-three".

Divisors: 1 3 7 21 247873 743619 1735111 5205333