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5246829 = 337172371
BaseRepresentation
bin10100000000111101101101
3100212120022000
4110000331231
52320344304
6304242513
762411610
oct24007555
910776260
105246829
112a64025
121910439
131119243
149a8177
156d9939
hex500f6d

5246829 has 64 divisors (see below), whose sum is σ = 9953280. Its totient is φ = 2661120.

The previous prime is 5246821. The next prime is 5246851. The reversal of 5246829 is 9286425.

It is a happy number.

It is not a de Polignac number, because 5246829 - 23 = 5246821 is a prime.

It is a super-3 number, since 3×52468293 (a number of 21 digits) contains 333 as substring.

5246829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5246793 and 5246802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5246821) 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 63 ways as a sum of consecutive naturals, for example, 73864 + ... + 73934.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

Almost surely, 25246829 is an apocalyptic number.

5246829 is the 1449-th heptagonal number.

It is an amenable number.

5246829 is a deficient number, since it is larger than the sum of its proper divisors (4706451).

5246829 is a wasteful number, since it uses less digits than its factorization.

5246829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5246829 is about 2290.5957740291. The cubic root of 5246829 is about 173.7663331953.

The spelling of 5246829 in words is "five million, two hundred forty-six thousand, eight hundred twenty-nine".

Divisors: 1 3 7 9 17 21 23 27 51 63 69 71 119 153 161 189 207 213 357 391 459 483 497 621 639 1071 1173 1207 1449 1491 1633 1917 2737 3213 3519 3621 4347 4473 4899 8211 8449 10557 10863 11431 13419 14697 24633 25347 27761 32589 34293 44091 73899 76041 83283 102879 194327 228123 249849 308637 582981 749547 1748943 5246829