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112989448 = 231113283349
BaseRepresentation
bin1101011110000…
…01010100001000
321212121110101101
412233001110020
5212411130243
615113431144
72541252205
oct657012410
9255543341
10112989448
1158863710
1231a0b4b4
131a540c80
1411012cac
159dbd54d
hex6bc1508

112989448 has 64 divisors (see below), whose sum is σ = 250488000. Its totient is φ = 47105280.

The previous prime is 112989439. The next prime is 112989449. The reversal of 112989448 is 844989211.

It is a junction number, because it is equal to n+sod(n) for n = 112989398 and 112989407.

It is not an unprimeable number, because it can be changed into a prime (112989449) 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, 323578 + ... + 323926.

It is an arithmetic number, because the mean of its divisors is an integer number (3913875).

Almost surely, 2112989448 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 112989448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125244000).

112989448 is an abundant number, since it is smaller than the sum of its proper divisors (137498552).

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

112989448 is a wasteful number, since it uses less digits than its factorization.

112989448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its digits is 165888, while the sum is 46.

The square root of 112989448 is about 10629.6494768172. The cubic root of 112989448 is about 483.4437636958.

The spelling of 112989448 in words is "one hundred twelve million, nine hundred eighty-nine thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 283 286 349 566 572 698 1132 1144 1396 2264 2792 3113 3679 3839 4537 6226 7358 7678 9074 12452 14716 15356 18148 24904 29432 30712 36296 40469 49907 80938 98767 99814 161876 197534 199628 323752 395068 399256 790136 1086437 1283971 2172874 2567942 4345748 5135884 8691496 10271768 14123681 28247362 56494724 112989448