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112755552 = 25371312907
BaseRepresentation
bin1101011100010…
…00001101100000
321212011120112120
412232020031200
5212331134202
615104424240
72536256250
oct656101540
9255146476
10112755552
1158713a08
1231918080
131a48b680
1410d91960
159d740bc
hex6b88360

112755552 has 96 divisors (see below), whose sum is σ = 364315392. Its totient is φ = 29735424.

The previous prime is 112755551. The next prime is 112755563. The reversal of 112755552 is 255557211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112755551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2283 + ... + 15189.

It is an arithmetic number, because the mean of its divisors is an integer number (3794952).

Almost surely, 2112755552 is an apocalyptic number.

112755552 is a gapful number since it is divisible by the number (12) 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 112755552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182157696).

112755552 is an abundant number, since it is smaller than the sum of its proper divisors (251559840).

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

112755552 is a wasteful number, since it uses less digits than its factorization.

112755552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12940 (or 12932 counting only the distinct ones).

The product of its digits is 17500, while the sum is 33.

The square root of 112755552 is about 10618.6417210489. The cubic root of 112755552 is about 483.1099458655.

The spelling of 112755552 in words is "one hundred twelve million, seven hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 12907 25814 38721 51628 77442 90349 103256 154884 167791 180698 206512 271047 309768 335582 361396 413024 503373 542094 619536 671164 722792 1006746 1084188 1174537 1239072 1342328 1445584 2013492 2168376 2349074 2684656 2891168 3523611 4026984 4336752 4698148 5369312 7047222 8053968 8673504 9396296 14094444 16107936 18792592 28188888 37585184 56377776 112755552