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4442112 = 21132241
BaseRepresentation
bin10000111100100000000000
322100200102200
4100330200000
52114121422
6235113200
752520523
oct20744000
98320380
104442112
112564474
1215a2800
13bc6b8c
14838bba
155cb2ac
hex43c800

4442112 has 72 divisors (see below), whose sum is σ = 12882870. Its totient is φ = 1474560.

The previous prime is 4442107. The next prime is 4442131. The reversal of 4442112 is 2112444.

It can be written as a sum of positive squares in only one way, i.e., 3326976 + 1115136 = 1824^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18312 + ... + 18552.

Almost surely, 24442112 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 4442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441435).

4442112 is an abundant number, since it is smaller than the sum of its proper divisors (8440758).

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

4442112 is a wasteful number, since it uses less digits than its factorization.

4442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4442112 is about 2107.6318464096. The cubic root of 4442112 is about 164.3853717426.

Adding to 4442112 its reverse (2112444), we get a palindrome (6554556).

It can be divided in two parts, 4442 and 112, that added together give a palindrome (4554).

The spelling of 4442112 in words is "four million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 241 256 288 384 482 512 576 723 768 964 1024 1152 1446 1536 1928 2048 2169 2304 2892 3072 3856 4338 4608 5784 6144 7712 8676 9216 11568 15424 17352 18432 23136 30848 34704 46272 61696 69408 92544 123392 138816 185088 246784 277632 370176 493568 555264 740352 1110528 1480704 2221056 4442112