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112749648 = 243111911239
BaseRepresentation
bin1101011100001…
…10110001010000
321212011021102220
412232012301100
5212330442043
615104341040
72536233114
oct656066120
9255137386
10112749648
115870a530
1231914780
131a488a8b
1410d8d744
159d72483
hex6b86c50

112749648 has 80 divisors (see below), whose sum is σ = 334502400. Its totient is φ = 32365440.

The previous prime is 112749647. The next prime is 112749653. The reversal of 112749648 is 846947211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112749647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4413 + ... + 15651.

It is an arithmetic number, because the mean of its divisors is an integer number (4181280).

Almost surely, 2112749648 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 112749648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167251200).

112749648 is an abundant number, since it is smaller than the sum of its proper divisors (221752752).

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

112749648 is a wasteful number, since it uses less digits than its factorization.

112749648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11280 (or 11274 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 112749648 is about 10618.3637157521. The cubic root of 112749648 is about 483.1015136690.

The spelling of 112749648 in words is "one hundred twelve million, seven hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 11239 22478 33717 44956 67434 89912 123629 134868 179824 213541 247258 269736 370887 427082 494516 539472 640623 741774 854164 989032 1281246 1483548 1708328 1978064 2348951 2562492 2967096 3416656 4697902 5124984 5934192 7046853 9395804 10249968 14093706 18791608 28187412 37583216 56374824 112749648