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5205876 = 22313217151
BaseRepresentation
bin10011110110111101110100
3100210111010020
4103312331310
52313042001
6303325140
762151324
oct23667564
910714106
105205876
112a36285
1218b07b0
131103700
14997284
156cc736
hex4f6f74

5205876 has 72 divisors (see below), whose sum is σ = 14019264. Its totient is φ = 1497600.

The previous prime is 5205853. The next prime is 5205883. The reversal of 5205876 is 6785025.

It is a happy number.

It is a super-2 number, since 2×52058762 = 54202289854752, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34401 + ... + 34551.

It is an arithmetic number, because the mean of its divisors is an integer number (194712).

Almost surely, 25205876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009632).

5205876 is an abundant number, since it is smaller than the sum of its proper divisors (8813388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5205876 is a wasteful number, since it uses less digits than its factorization.

5205876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5205876 is about 2281.6388846616. The cubic root of 5205876 is about 173.3130531829.

The spelling of 5205876 in words is "five million, two hundred five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 151 156 169 204 221 302 338 442 453 507 604 663 676 884 906 1014 1326 1812 1963 2028 2567 2652 2873 3926 5134 5746 5889 7701 7852 8619 10268 11492 11778 15402 17238 23556 25519 30804 33371 34476 51038 66742 76557 100113 102076 133484 153114 200226 306228 400452 433823 867646 1301469 1735292 2602938 5205876