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112273408 = 211134217
BaseRepresentation
bin1101011000100…
…10100000000000
321211021002011101
412230102200000
5212220222113
615050224144
72532210502
oct654224000
9254232141
10112273408
1158414745
1231725054
131a350090
1410ca7d72
159ccb2dd
hex6b12800

112273408 has 48 divisors (see below), whose sum is σ = 241817940. Its totient is φ = 51806208.

The previous prime is 112273393. The next prime is 112273453. The reversal of 112273408 is 804372211.

It can be written as a sum of positive squares in 2 ways, for example, as 112190464 + 82944 = 10592^2 + 288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24516 + ... + 28732.

Almost surely, 2112273408 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 112273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120908970).

112273408 is an abundant number, since it is smaller than the sum of its proper divisors (129544532).

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

112273408 is an equidigital number, since it uses as much as digits as its factorization.

112273408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 112273408 is about 10595.9146844432. The cubic root of 112273408 is about 482.4203675394.

The spelling of 112273408 in words is "one hundred twelve million, two hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4217 6656 8434 13312 16868 26624 33736 54821 67472 109642 134944 219284 269888 438568 539776 877136 1079552 1754272 2159104 3508544 4318208 7017088 8636416 14034176 28068352 56136704 112273408