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2048112 = 243311431
BaseRepresentation
bin111110100000001110000
310212001111000
413310001300
51011014422
6111522000
723260113
oct7640160
93761430
102048112
111179860
12829300
13569301
143b457a
152a6cac
hex1f4070

2048112 has 80 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 619200.

The previous prime is 2048107. The next prime is 2048113. The reversal of 2048112 is 2118402.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048113) 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, 4537 + ... + 4967.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

22048112 is an apocalyptic number.

2048112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2048112 is an abundant number, since it is smaller than the sum of its proper divisors (4380048).

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

2048112 is a wasteful number, since it uses less digits than its factorization.

2048112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2048112 is about 1431.1226362545. The cubic root of 2048112 is about 126.9943990751.

The spelling of 2048112 in words is "two million, forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 431 432 528 594 792 862 1188 1293 1584 1724 2376 2586 3448 3879 4741 4752 5172 6896 7758 9482 10344 11637 14223 15516 18964 20688 23274 28446 31032 37928 42669 46548 56892 62064 75856 85338 93096 113784 128007 170676 186192 227568 256014 341352 512028 682704 1024056 2048112