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5005973 = 717233159
BaseRepresentation
bin10011000110001010010101
3100102022220102
4103012022111
52240142343
6255143445
760356450
oct23061225
910368812
105005973
11290a075
121814b85
13106371b
14944497
1568d3b8
hex4c6295

5005973 has 32 divisors (see below), whose sum is σ = 6635520. Its totient is φ = 3674880.

The previous prime is 5005969. The next prime is 5005981. The reversal of 5005973 is 3795005.

It is a cyclic number.

It is not a de Polignac number, because 5005973 - 22 = 5005969 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 (5005933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84818 + ... + 84876.

It is an arithmetic number, because the mean of its divisors is an integer number (207360).

Almost surely, 25005973 is an apocalyptic number.

It is an amenable number.

5005973 is a deficient number, since it is larger than the sum of its proper divisors (1629547).

5005973 is a wasteful number, since it uses less digits than its factorization.

5005973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137.

The product of its (nonzero) digits is 4725, while the sum is 29.

The square root of 5005973 is about 2237.4031822629. The cubic root of 5005973 is about 171.0656588139.

The spelling of 5005973 in words is "five million, five thousand, nine hundred seventy-three".

Divisors: 1 7 17 23 31 59 119 161 217 391 413 527 713 1003 1357 1829 2737 3689 4991 7021 9499 12121 12803 23069 31093 42067 84847 161483 217651 294469 715139 5005973