[go: up one dir, main page]

Search a number
-
+
28112112 = 243271672
BaseRepresentation
bin110101100111…
…1010011110000
31221220020120100
41223033103300
524144041422
62442312400
7460643340
oct153172360
957806510
1028112112
1114961056
1294b8700
135a938b2
143a3ad20
1527047ac
hex1acf4f0

28112112 has 90 divisors (see below), whose sum is σ = 90455768. Its totient is φ = 7983936.

The previous prime is 28112111. The next prime is 28112113. The reversal of 28112112 is 21121182.

It is an interprime number because it is at equal distance from previous prime (28112111) and next prime (28112113).

It is a super-2 number, since 2×281121122 = 1580581682201088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28112111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 168253 + ... + 168419.

Almost surely, 228112112 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 28112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45227884).

28112112 is an abundant number, since it is smaller than the sum of its proper divisors (62343656).

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

28112112 is a wasteful number, since it uses less digits than its factorization.

28112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 179 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 28112112 is about 5302.0856273734. The cubic root of 28112112 is about 304.0636408775.

Adding to 28112112 its reverse (21121182), we get a palindrome (49233294).

It can be divided in two parts, 28112 and 112, that added together give a square (28224 = 1682).

The spelling of 28112112 in words is "twenty-eight million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 167 168 252 334 336 501 504 668 1002 1008 1169 1336 1503 2004 2338 2672 3006 3507 4008 4676 6012 7014 8016 9352 10521 12024 14028 18704 21042 24048 27889 28056 42084 55778 56112 83667 84168 111556 167334 168336 195223 223112 251001 334668 390446 446224 502002 585669 669336 780892 1004004 1171338 1338672 1561784 1757007 2008008 2342676 3123568 3514014 4016016 4685352 7028028 9370704 14056056 28112112