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5864144 = 2411213233
BaseRepresentation
bin10110010111101011010000
3102000221002112
4112113223100
53000123034
6325404452
7100562426
oct26275320
912027075
105864144
113345900
121b69728
1312a4210
14ac9116
157ac7ce
hex597ad0

5864144 has 60 divisors (see below), whose sum is σ = 13506948. Its totient is φ = 2449920.

The previous prime is 5864129. The next prime is 5864153. The reversal of 5864144 is 4414685.

It can be written as a sum of positive squares in 2 ways, for example, as 1024144 + 4840000 = 1012^2 + 2200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5864144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25052 + ... + 25284.

Almost surely, 25864144 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 5864144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753474).

5864144 is an abundant number, since it is smaller than the sum of its proper divisors (7642804).

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

5864144 is a wasteful number, since it uses less digits than its factorization.

5864144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 259 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 5864144 is about 2421.5994714238. The cubic root of 5864144 is about 180.3300938742.

It can be divided in two parts, 58641 and 44, that added together give a palindrome (58685).

The spelling of 5864144 in words is "five million, eight hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 233 242 286 466 484 572 932 968 1144 1573 1864 1936 2288 2563 3029 3146 3728 5126 6058 6292 10252 12116 12584 20504 24232 25168 28193 33319 41008 48464 56386 66638 112772 133276 225544 266552 366509 451088 533104 733018 1466036 2932072 5864144