Search a number
-
+
112484448 = 2532715501
BaseRepresentation
bin1101011010001…
…10000001100000
321211122210122200
412231012001200
5212244000243
615054533200
72534046666
oct655060140
9254583580
10112484448
115854925a
1231807200
131a3c515b
1410d20c36
159d1dad3
hex6b46060

112484448 has 72 divisors (see below), whose sum is σ = 324441936. Its totient is φ = 36960000.

The previous prime is 112484447. The next prime is 112484483. The reversal of 112484448 is 844484211.

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 (36).

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 (112484447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17698 + ... + 23198.

It is an arithmetic number, because the mean of its divisors is an integer number (4506138).

Almost surely, 2112484448 is an apocalyptic number.

112484448 is a gapful number since it is divisible by the number (18) 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 112484448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162220968).

112484448 is an abundant number, since it is smaller than the sum of its proper divisors (211957488).

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

112484448 is a wasteful number, since it uses less digits than its factorization.

112484448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5577 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 112484448 is about 10605.8685641488. The cubic root of 112484448 is about 482.7224464023.

The spelling of 112484448 in words is "one hundred twelve million, four hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 5501 6816 10224 11002 16503 20448 22004 33006 44008 49509 66012 88016 99018 132024 176032 198036 264048 390571 396072 528096 781142 792144 1171713 1562284 1584288 2343426 3124568 3515139 4686852 6249136 7030278 9373704 12498272 14060556 18747408 28121112 37494816 56242224 112484448