Search a number
-
+
4728064 = 28112373
BaseRepresentation
bin10010000010010100000000
322220012200111
4102002110000
52202244224
6245201104
755121305
oct22022400
98805614
104728064
11273a2a0
121700194
13c97093
148b10ac
15635d94
hex482500

4728064 has 72 divisors (see below), whose sum is σ = 10890432. Its totient is φ = 2027520.

The previous prime is 4728047. The next prime is 4728109. The reversal of 4728064 is 4608274.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64732 + ... + 64804.

It is an arithmetic number, because the mean of its divisors is an integer number (151256).

Almost surely, 24728064 is an apocalyptic number.

4728064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445216).

4728064 is an abundant number, since it is smaller than the sum of its proper divisors (6162368).

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

4728064 is a wasteful number, since it uses less digits than its factorization.

4728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4728064 is about 2174.4111846659. The cubic root of 4728064 is about 167.8396050400.

The spelling of 4728064 in words is "four million, seven hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 73 88 92 128 146 176 184 253 256 292 352 368 506 584 704 736 803 1012 1168 1408 1472 1606 1679 2024 2336 2816 2944 3212 3358 4048 4672 5888 6424 6716 8096 9344 12848 13432 16192 18469 18688 25696 26864 32384 36938 51392 53728 64768 73876 102784 107456 147752 205568 214912 295504 429824 591008 1182016 2364032 4728064