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112425344 = 272931977
BaseRepresentation
bin1101011001101…
…11100110000000
321211112210120122
412230313212000
5212240102334
615053355412
72533412453
oct654674600
9254483518
10112425344
1158508909
1231798b68
131a3a4295
1410d0749a
159d0b32e
hex6b37980

112425344 has 64 divisors (see below), whose sum is σ = 239414400. Its totient is φ = 52469760.

The previous prime is 112425343. The next prime is 112425347. The reversal of 112425344 is 443524211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112425343) 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 7 ways as a sum of consecutive naturals, for example, 114584 + ... + 115560.

It is an arithmetic number, because the mean of its divisors is an integer number (3740850).

Almost surely, 2112425344 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 112425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119707200).

112425344 is an abundant number, since it is smaller than the sum of its proper divisors (126989056).

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

112425344 is an equidigital number, since it uses as much as digits as its factorization.

112425344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 112425344 is about 10603.0818161514. The cubic root of 112425344 is about 482.6378841168.

Adding to 112425344 its reverse (443524211), we get a palindrome (555949555).

The spelling of 112425344 in words is "one hundred twelve million, four hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 464 496 899 928 977 992 1798 1856 1954 1984 3596 3712 3908 3968 7192 7816 14384 15632 28333 28768 30287 31264 56666 57536 60574 62528 113332 115072 121148 125056 226664 242296 453328 484592 878323 906656 969184 1756646 1813312 1938368 3513292 3626624 3876736 7026584 14053168 28106336 56212672 112425344