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5305144 = 2313291759
BaseRepresentation
bin10100001111001100111000
3100222112021211
4110033030320
52324231034
6305412504
763043615
oct24171470
910875254
105305144
112aa3919
12193a134
131139950
149c150c
156ebd64
hex50f338

5305144 has 32 divisors (see below), whose sum is σ = 11088000. Its totient is φ = 2362752.

The previous prime is 5305093. The next prime is 5305151. The reversal of 5305144 is 4415035.

It is a congruent number.

It is an unprimeable number.

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, 2137 + ... + 3895.

It is an arithmetic number, because the mean of its divisors is an integer number (346500).

Almost surely, 25305144 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 5305144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544000).

5305144 is an abundant number, since it is smaller than the sum of its proper divisors (5782856).

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

5305144 is a wasteful number, since it uses less digits than its factorization.

5305144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5305144 is about 2303.2898211037. The cubic root of 5305144 is about 174.4077283841.

The spelling of 5305144 in words is "five million, three hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 1759 3016 3518 7036 14072 22867 45734 51011 91468 102022 182936 204044 408088 663143 1326286 2652572 5305144