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112553344 = 274753353
BaseRepresentation
bin1101011010101…
…10110110000000
321211210022011101
412231112312000
5212303201334
615100224144
72534454601
oct655266600
9254708141
10112553344
1158595aa2
123183b054
131a41a617
1410d3bda8
159d34214
hex6b56d80

112553344 has 64 divisors (see below), whose sum is σ = 233979840. Its totient is φ = 53886976.

The previous prime is 112553299. The next prime is 112553347. The reversal of 112553344 is 443355211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112553347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318672 + ... + 319024.

It is an arithmetic number, because the mean of its divisors is an integer number (3655935).

Almost surely, 2112553344 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 112553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116989920).

112553344 is an abundant number, since it is smaller than the sum of its proper divisors (121426496).

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

112553344 is an equidigital number, since it uses as much as digits as its factorization.

112553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 112553344 is about 10609.1160800512. The cubic root of 112553344 is about 482.8209810843.

The spelling of 112553344 in words is "one hundred twelve million, five hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 47 53 64 94 106 128 188 212 353 376 424 706 752 848 1412 1504 1696 2491 2824 3008 3392 4982 5648 6016 6784 9964 11296 16591 18709 19928 22592 33182 37418 39856 45184 66364 74836 79712 132728 149672 159424 265456 299344 318848 530912 598688 879323 1061824 1197376 1758646 2123648 2394752 3517292 7034584 14069168 28138336 56276672 112553344