Search a number
-
+
5556672 = 263211877
BaseRepresentation
bin10101001100100111000000
3101110022022200
4111030213000
52410303142
6315033200
765142132
oct25144700
911408280
105556672
1131558a0
121a3b800
1311c7294
14a49052
1574b64c
hex54c9c0

5556672 has 84 divisors (see below), whose sum is σ = 17394936. Its totient is φ = 1681920.

The previous prime is 5556667. The next prime is 5556703. The reversal of 5556672 is 2766555.

5556672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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, 5898 + ... + 6774.

Almost surely, 25556672 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 5556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8697468).

5556672 is an abundant number, since it is smaller than the sum of its proper divisors (11838264).

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

5556672 is a wasteful number, since it uses less digits than its factorization.

5556672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 5556672 is about 2357.2594256891. The cubic root of 5556672 is about 177.1216247284.

It can be divided in two parts, 555 and 6672, that added together give a palindrome (7227).

The spelling of 5556672 in words is "five million, five hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 877 1056 1584 1754 2112 2631 3168 3508 5262 6336 7016 7893 9647 10524 14032 15786 19294 21048 28064 28941 31572 38588 42096 56128 57882 63144 77176 84192 86823 115764 126288 154352 168384 173646 231528 252576 308704 347292 463056 505152 617408 694584 926112 1389168 1852224 2778336 5556672