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113248944 = 24322947577
BaseRepresentation
bin1101100000000…
…00101010110000
321220002122100100
412300000222300
5212442431234
615123152400
72543412564
oct660005260
9256078310
10113248944
1158a20676
1231b15700
131a602113
141107d6a4
159e20399
hex6c00ab0

113248944 has 120 divisors (see below), whose sum is σ = 335424960. Its totient is φ = 35610624.

The previous prime is 113248931. The next prime is 113248981. The reversal of 113248944 is 449842311.

It is a happy number.

113248944 is a `hidden beast` number, since 1 + 132 + 489 + 44 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 113248899 and 113248908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195984 + ... + 196560.

It is an arithmetic number, because the mean of its divisors is an integer number (2795208).

Almost surely, 2113248944 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 113248944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167712480).

113248944 is an abundant number, since it is smaller than the sum of its proper divisors (222176016).

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

113248944 is a wasteful number, since it uses less digits than its factorization.

113248944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 658 counting only the distinct ones).

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

The square root of 113248944 is about 10641.8487115726. The cubic root of 113248944 is about 483.8135793685.

The spelling of 113248944 in words is "one hundred thirteen million, two hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 47 48 58 72 87 94 116 141 144 174 188 232 261 282 348 376 423 464 522 564 577 696 752 846 1044 1128 1154 1363 1392 1692 1731 2088 2256 2308 2726 3384 3462 4089 4176 4616 5193 5452 6768 6924 8178 9232 10386 10904 12267 13848 16356 16733 20772 21808 24534 27119 27696 32712 33466 41544 49068 50199 54238 65424 66932 81357 83088 98136 100398 108476 133864 150597 162714 196272 200796 216952 244071 267728 301194 325428 401592 433904 488142 602388 650856 786451 803184 976284 1204776 1301712 1572902 1952568 2359353 2409552 3145804 3905136 4718706 6291608 7078059 9437412 12583216 14156118 18874824 28312236 37749648 56624472 113248944