Search a number
-
+
5206848 = 26347577
BaseRepresentation
bin10011110111001101000000
3100210112110020
4103313031000
52313104343
6303333440
762154213
oct23671500
910715406
105206848
112a36a89
1218b1280
131103c9a
1499777a
156ccb83
hex4f7340

5206848 has 56 divisors (see below), whose sum is σ = 14093952. Its totient is φ = 1695744.

The previous prime is 5206841. The next prime is 5206849. The reversal of 5206848 is 8486025.

It is a super-2 number, since 2×52068482 = 54222532190208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206841) 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 7 ways as a sum of consecutive naturals, for example, 8736 + ... + 9312.

Almost surely, 25206848 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 5206848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046976).

5206848 is an abundant number, since it is smaller than the sum of its proper divisors (8887104).

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

5206848 is a wasteful number, since it uses less digits than its factorization.

5206848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 5206848 is about 2281.8518795049. The cubic root of 5206848 is about 173.3238390592.

The spelling of 5206848 in words is "five million, two hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 577 752 1128 1154 1504 1731 2256 2308 3008 3462 4512 4616 6924 9024 9232 13848 18464 27119 27696 36928 54238 55392 81357 108476 110784 162714 216952 325428 433904 650856 867808 1301712 1735616 2603424 5206848