Search a number
-
+
5558112 = 25337919
BaseRepresentation
bin10101001100111101100000
3101110101022000
4111030331200
52410324422
6315044000
765146260
oct25147540
911411260
105558112
11315698a
121a40600
1311c7b31
14a497a0
1574bcac
hex54cf60

5558112 has 96 divisors (see below), whose sum is σ = 18547200. Its totient is φ = 1586304.

The previous prime is 5558107. The next prime is 5558117. The reversal of 5558112 is 2118555.

It is an interprime number because it is at equal distance from previous prime (5558107) and next prime (5558117).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5558117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5589 + ... + 6507.

It is an arithmetic number, because the mean of its divisors is an integer number (193200).

Almost surely, 25558112 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 5558112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9273600).

5558112 is an abundant number, since it is smaller than the sum of its proper divisors (12989088).

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

5558112 is a wasteful number, since it uses less digits than its factorization.

5558112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 931 counting only the distinct ones).

The product of its digits is 2000, while the sum is 27.

The square root of 5558112 is about 2357.5648453436. The cubic root of 5558112 is about 177.1369236405.

The spelling of 5558112 in words is "five million, five hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 919 1008 1512 1838 2016 2757 3024 3676 5514 6048 6433 7352 8271 11028 12866 14704 16542 19299 22056 24813 25732 29408 33084 38598 44112 49626 51464 57897 66168 77196 88224 99252 102928 115794 132336 154392 173691 198504 205856 231588 264672 308784 347382 397008 463176 617568 694764 794016 926352 1389528 1852704 2779056 5558112