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112493448 = 233619289
BaseRepresentation
bin1101011010010…
…00001110001000
321211200021000000
412231020032020
5212244242243
615055043000
72534115144
oct655101610
9254607000
10112493448
1158554aa1
1231810460
131a3c9292
1410d24224
159d215d3
hex6b48388

112493448 has 56 divisors (see below), whose sum is σ = 316259550. Its totient is φ = 37495872.

The previous prime is 112493417. The next prime is 112493449. The reversal of 112493448 is 844394211.

It is a happy number.

112493448 is a `hidden beast` number, since 1 + 124 + 93 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87272964 + 25220484 = 9342^2 + 5022^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112493449) 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 13 ways as a sum of consecutive naturals, for example, 3813 + ... + 15476.

Almost surely, 2112493448 is an apocalyptic number.

112493448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112493448 is an abundant number, since it is smaller than the sum of its proper divisors (203766102).

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

112493448 is an equidigital number, since it uses as much as digits as its factorization.

112493448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19313 (or 19294 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 112493448 is about 10606.2928490590. The cubic root of 112493448 is about 482.7353204372.

The spelling of 112493448 in words is "one hundred twelve million, four hundred ninety-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 19289 38578 57867 77156 115734 154312 173601 231468 347202 462936 520803 694404 1041606 1388808 1562409 2083212 3124818 4166424 4687227 6249636 9374454 12499272 14061681 18748908 28123362 37497816 56246724 112493448