Search a number
-
+
5464872 = 2332721549
BaseRepresentation
bin10100110110001100101000
3101021122101200
4110312030220
52344333442
6313044200
764310400
oct24661450
911248350
105464872
1130a2926
1219b6660
13119456a
14a23800
1572e34c
hex536328

5464872 has 72 divisors (see below), whose sum is σ = 17228250. Its totient is φ = 1560384.

The previous prime is 5464861. The next prime is 5464889. The reversal of 5464872 is 2784645.

5464872 is a `hidden beast` number, since 5 + 4 + 648 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4955076 + 509796 = 2226^2 + 714^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 57 + 4 + 68 + 49 + 87 + 77 + 219 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2754 + ... + 4302.

Almost surely, 25464872 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 5464872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8614125).

5464872 is an abundant number, since it is smaller than the sum of its proper divisors (11763378).

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

5464872 is a wasteful number, since it uses less digits than its factorization.

5464872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1561 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5464872 is about 2337.7065684127. The cubic root of 5464872 is about 176.1408136167.

It can be divided in two parts, 5464 and 872, that added together give a palindrome (6336).

The spelling of 5464872 in words is "five million, four hundred sixty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1549 1764 3098 3528 4647 6196 9294 10843 12392 13941 18588 21686 27882 32529 37176 43372 55764 65058 75901 86744 97587 111528 130116 151802 195174 227703 260232 303604 390348 455406 607208 683109 780696 910812 1366218 1821624 2732436 5464872