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5006367 = 34193253
BaseRepresentation
bin10011000110010000011111
3100102100110000
4103012100133
52240200432
6255145343
760360552
oct23062037
910370400
105006367
11290a3a3
121815253
131063962
14944699
1568d57c
hex4c641f

5006367 has 20 divisors (see below), whose sum is σ = 7874680. Its totient is φ = 3160944.

The previous prime is 5006317. The next prime is 5006369. The reversal of 5006367 is 7636005.

It is a de Polignac number, because none of the positive numbers 2k-5006367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

5006367 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5006367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88 + ... + 3165.

It is an arithmetic number, because the mean of its divisors is an integer number (393734).

Almost surely, 25006367 is an apocalyptic number.

5006367 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

5006367 is a deficient number, since it is larger than the sum of its proper divisors (2868313).

5006367 is a wasteful number, since it uses less digits than its factorization.

5006367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5006367 is about 2237.4912290331. The cubic root of 5006367 is about 171.0701466595.

The spelling of 5006367 in words is "five million, six thousand, three hundred sixty-seven".

Divisors: 1 3 9 19 27 57 81 171 513 1539 3253 9759 29277 61807 87831 185421 263493 556263 1668789 5006367