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112478464 = 287232729
BaseRepresentation
bin1101011010001…
…00100100000000
321211122111110001
412231010210000
5212243302324
615054445344
72534023360
oct655044400
9254574401
10112478464
115854480a
1231803854
131a3c2507
1410d1c9a0
159d1be44
hex6b44900

112478464 has 72 divisors (see below), whose sum is σ = 267845760. Its totient is φ = 46092288.

The previous prime is 112478459. The next prime is 112478479. The reversal of 112478464 is 464874211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39852 + ... + 42580.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2112478464 is an apocalyptic number.

112478464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

112478464 is an abundant number, since it is smaller than the sum of its proper divisors (155367296).

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

112478464 is an equidigital number, since it uses as much as digits as its factorization.

112478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2761 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 112478464 is about 10605.5864524316. The cubic root of 112478464 is about 482.7138862194.

The spelling of 112478464 in words is "one hundred twelve million, four hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1288 1472 1792 2576 2729 2944 5152 5458 5888 10304 10916 19103 20608 21832 38206 41216 43664 62767 76412 87328 125534 152824 174656 251068 305648 349312 439369 502136 611296 698624 878738 1004272 1222592 1757476 2008544 2445184 3514952 4017088 4890368 7029904 8034176 14059808 16068352 28119616 56239232 112478464