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5092824 = 23311101191
BaseRepresentation
bin10011011011010111011000
3100120202001010
4103123113120
52300432244
6301053520
761200612
oct23332730
910522033
105092824
112969350
1218572a0
131094109
14967db2
156a8eb9
hex4db5d8

5092824 has 64 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1520000.

The previous prime is 5092819. The next prime is 5092831. The reversal of 5092824 is 4282905.

It is a junction number, because it is equal to n+sod(n) for n = 5092791 and 5092800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26569 + ... + 26759.

It is an arithmetic number, because the mean of its divisors is an integer number (220320).

Almost surely, 25092824 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 5092824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

5092824 is an abundant number, since it is smaller than the sum of its proper divisors (9007656).

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

5092824 is a wasteful number, since it uses less digits than its factorization.

5092824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5092824 is about 2256.7286057477. The cubic root of 5092824 is about 172.0492918037.

It can be divided in two parts, 509 and 2824, that added together give a palindrome (3333).

The spelling of 5092824 in words is "five million, ninety-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 191 202 264 303 382 404 573 606 764 808 1111 1146 1212 1528 2101 2222 2292 2424 3333 4202 4444 4584 6303 6666 8404 8888 12606 13332 16808 19291 25212 26664 38582 50424 57873 77164 115746 154328 212201 231492 424402 462984 636603 848804 1273206 1697608 2546412 5092824