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5084064 = 2532127139
BaseRepresentation
bin10011011001001110100000
3100120022000200
4103121032200
52300142224
6300545200
761133226
oct23311640
910508020
105084064
112962807
121852200
13109012b
14964b16
156a65c9
hex4d93a0

5084064 has 72 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 1669248.

The previous prime is 5084033. The next prime is 5084069. The reversal of 5084064 is 4604805.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5084069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36507 + ... + 36645.

It is an arithmetic number, because the mean of its divisors is an integer number (203840).

Almost surely, 25084064 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 5084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

5084064 is an abundant number, since it is smaller than the sum of its proper divisors (9592416).

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

5084064 is a wasteful number, since it uses less digits than its factorization.

5084064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5084064 is about 2254.7869078917. The cubic root of 5084064 is about 171.9505897374.

Adding to 5084064 its reverse (4604805), we get a palindrome (9688869).

The spelling of 5084064 in words is "five million, eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 139 144 254 278 288 381 417 508 556 762 834 1016 1112 1143 1251 1524 1668 2032 2224 2286 2502 3048 3336 4064 4448 4572 5004 6096 6672 9144 10008 12192 13344 17653 18288 20016 35306 36576 40032 52959 70612 105918 141224 158877 211836 282448 317754 423672 564896 635508 847344 1271016 1694688 2542032 5084064