Search a number
-
+
112942752 = 2531390499
BaseRepresentation
bin1101011101101…
…01111010100000
321212112002022220
412232311322200
5212403132002
615112431040
72540666106
oct656657240
9255462286
10112942752
115883161a
12319a8480
131a525940
1410dddc76
159dae7bc
hex6bb5ea0

112942752 has 48 divisors (see below), whose sum is σ = 319284000. Its totient is φ = 34751232.

The previous prime is 112942727. The next prime is 112942757. The reversal of 112942752 is 257249211.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (112942757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44002 + ... + 46497.

It is an arithmetic number, because the mean of its divisors is an integer number (6651750).

Almost surely, 2112942752 is an apocalyptic number.

112942752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112942752 is an abundant number, since it is smaller than the sum of its proper divisors (206341248).

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

112942752 is a wasteful number, since it uses less digits than its factorization.

112942752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90525 (or 90517 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 112942752 is about 10627.4527521886. The cubic root of 112942752 is about 483.3771557043.

The spelling of 112942752 in words is "one hundred twelve million, nine hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 90499 180998 271497 361996 542994 723992 1085988 1176487 1447984 2171976 2352974 2895968 3529461 4343952 4705948 7058922 8687904 9411896 14117844 18823792 28235688 37647584 56471376 112942752