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5248971 = 3271321729
BaseRepresentation
bin10100000001011111001011
3100212200020100
4110001133023
52320431341
6304300443
762421060
oct24013713
910780210
105248971
112a656a2
121911723
13111a200
149a8c67
156da3b6
hex5017cb

5248971 has 72 divisors (see below), whose sum is σ = 10277280. Its totient is φ = 2515968.

The previous prime is 5248949. The next prime is 5248973. The reversal of 5248971 is 1798425.

5248971 = T610 + T611 + ... + T636.

5248971 is nontrivially palindromic in base 11.

It is not a de Polignac number, because 5248971 - 26 = 5248907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5248973) 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 71 ways as a sum of consecutive naturals, for example, 180985 + ... + 181013.

It is an arithmetic number, because the mean of its divisors is an integer number (142740).

Almost surely, 25248971 is an apocalyptic number.

5248971 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5248971 is a deficient number, since it is larger than the sum of its proper divisors (5028309).

5248971 is a wasteful number, since it uses less digits than its factorization.

5248971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5248971 is about 2291.0632902650. The cubic root of 5248971 is about 173.7899764820.

The spelling of 5248971 in words is "five million, two hundred forty-eight thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 13 17 21 29 39 51 63 87 91 117 119 153 169 203 221 261 273 357 377 493 507 609 663 819 1071 1131 1183 1479 1521 1547 1827 1989 2639 2873 3393 3451 3549 4437 4641 4901 6409 7917 8619 10353 10647 13923 14703 19227 20111 23751 25857 31059 34307 44109 44863 57681 60333 83317 102921 134589 180999 249951 308763 403767 583219 749853 1749657 5248971