Search a number
-
+
5348112 = 2437111447
BaseRepresentation
bin10100011001101100010000
3101001201020020
4110121230100
52332114422
6310343440
763313110
oct24315420
911051206
105348112
113023130
12195ab80
131153383
149d3040
1570995c
hex519b10

5348112 has 80 divisors (see below), whose sum is σ = 17236992. Its totient is φ = 1388160.

The previous prime is 5348111. The next prime is 5348131. The reversal of 5348112 is 2118435.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5348111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2973 + ... + 4419.

Almost surely, 25348112 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 5348112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618496).

5348112 is an abundant number, since it is smaller than the sum of its proper divisors (11888880).

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

5348112 is a wasteful number, since it uses less digits than its factorization.

5348112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1470 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 5348112 is about 2312.5985384411. The cubic root of 5348112 is about 174.8773235467.

It can be divided in two parts, 5348 and 112, that added together give a triangular number (5460 = T104).

The spelling of 5348112 in words is "five million, three hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1447 1848 2894 3696 4341 5788 8682 10129 11576 15917 17364 20258 23152 30387 31834 34728 40516 47751 60774 63668 69456 81032 95502 111419 121548 127336 162064 191004 222838 243096 254672 334257 382008 445676 486192 668514 764016 891352 1337028 1782704 2674056 5348112