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112040448 = 2931331181
BaseRepresentation
bin1101010110110…
…01101000000000
321210211020121020
412223121220000
5212140243243
615041225440
72530220352
oct653315000
9253736536
10112040448
1158275713
1231632280
131a29b030
1410c470d2
159c82283
hex6ad9a00

112040448 has 160 divisors (see below), whose sum is σ = 333645312. Its totient is φ = 33177600.

The previous prime is 112040447. The next prime is 112040471. The reversal of 112040448 is 844040211.

112040448 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112040441) 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 15 ways as a sum of consecutive naturals, for example, 618918 + ... + 619098.

Almost surely, 2112040448 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 112040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166822656).

112040448 is an abundant number, since it is smaller than the sum of its proper divisors (221604864).

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

112040448 is a wasteful number, since it uses less digits than its factorization.

112040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 112040448 is about 10584.9160601301. The cubic root of 112040448 is about 482.0864728953.

Adding to 112040448 its reverse (844040211), we get a palindrome (956080659).

The spelling of 112040448 in words is "one hundred twelve million, forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 181 186 192 208 248 256 312 362 372 384 403 416 496 512 543 624 724 744 768 806 832 992 1086 1209 1248 1448 1488 1536 1612 1664 1984 2172 2353 2418 2496 2896 2976 3224 3328 3968 4344 4706 4836 4992 5611 5792 5952 6448 6656 7059 7936 8688 9412 9672 9984 11222 11584 11904 12896 14118 15872 16833 17376 18824 19344 19968 22444 23168 23808 25792 28236 33666 34752 37648 38688 44888 46336 47616 51584 56472 67332 69504 72943 75296 77376 89776 92672 103168 112944 134664 139008 145886 150592 154752 179552 206336 218829 225888 269328 278016 291772 301184 309504 359104 437658 451776 538656 583544 602368 619008 718208 875316 903552 1077312 1167088 1204736 1436416 1750632 1807104 2154624 2334176 2872832 3501264 3614208 4309248 4668352 7002528 8618496 9336704 14005056 18673408 28010112 37346816 56020224 112040448