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112471938 = 23241257593
BaseRepresentation
bin1101011010000…
…10111110000010
321211122011111100
412231002332002
5212243100223
615054355230
72533665345
oct655027602
9254564440
10112471938
115853a917
12317bbb16
131a3bc557
1410d1a45c
159d1a043
hex6b42f82

112471938 has 48 divisors (see below), whose sum is σ = 251026776. Its totient is φ = 36372480.

The previous prime is 112471829. The next prime is 112471939. The reversal of 112471938 is 839174211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 103489929 + 8982009 = 10173^2 + 2997^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112471939) 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 23 ways as a sum of consecutive naturals, for example, 189370 + ... + 189962.

Almost surely, 2112471938 is an apocalyptic number.

112471938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

112471938 is an abundant number, since it is smaller than the sum of its proper divisors (138554838).

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

112471938 is a wasteful number, since it uses less digits than its factorization.

112471938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 896 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 112471938 is about 10605.2787799284. The cubic root of 112471938 is about 482.7045503529.

The spelling of 112471938 in words is "one hundred twelve million, four hundred seventy-one thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 41 82 123 246 257 369 514 593 738 771 1186 1542 1779 2313 3558 4626 5337 10537 10674 21074 24313 31611 48626 63222 72939 94833 145878 152401 189666 218817 304802 437634 457203 914406 1371609 2743218 6248441 12496882 18745323 37490646 56235969 112471938