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5005693 = 721137251
BaseRepresentation
bin10011000110000101111101
3100102022112001
4103012011331
52240140233
6255142301
760355600
oct23060575
910368461
105005693
112909940
121814991
131063564
14944337
1568d27d
hex4c617d

5005693 has 24 divisors (see below), whose sum is σ = 6549984. Its totient is φ = 3780000.

The previous prime is 5005687. The next prime is 5005703. The reversal of 5005693 is 3965005.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-5005693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19818 + ... + 20068.

It is an arithmetic number, because the mean of its divisors is an integer number (272916).

Almost surely, 25005693 is an apocalyptic number.

It is an amenable number.

5005693 is a deficient number, since it is larger than the sum of its proper divisors (1544291).

5005693 is a wasteful number, since it uses less digits than its factorization.

5005693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 5005693 is about 2237.3406088479. The cubic root of 5005693 is about 171.0624693389.

The spelling of 5005693 in words is "five million, five thousand, six hundred ninety-three".

Divisors: 1 7 11 37 49 77 251 259 407 539 1757 1813 2761 2849 9287 12299 19327 19943 65009 102157 135289 455063 715099 5005693