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114647808 = 2831141331
BaseRepresentation
bin1101101010101…
…10001100000000
321222201201020010
412311112030000
5213322212213
615213144520
72561330112
oct665261400
9258651203
10114647808
1159796660
123248b140
131a9a1a52
14113253b2
15a0e9ac3
hex6d56300

114647808 has 144 divisors (see below), whose sum is σ = 342018432. Its totient is φ = 33792000.

The previous prime is 114647791. The next prime is 114647809. The reversal of 114647808 is 808746411.

It is not an unprimeable number, because it can be changed into a prime (114647809) 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, 346203 + ... + 346533.

It is an arithmetic number, because the mean of its divisors is an integer number (2375128).

Almost surely, 2114647808 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 114647808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171009216).

114647808 is an abundant number, since it is smaller than the sum of its proper divisors (227370624).

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

114647808 is a wasteful number, since it uses less digits than its factorization.

114647808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 114647808 is about 10707.3716662867. The cubic root of 114647808 is about 485.7974735750.

The spelling of 114647808 in words is "one hundred fourteen million, six hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 264 328 331 352 384 451 492 528 656 662 704 768 902 984 993 1056 1312 1324 1353 1408 1804 1968 1986 2112 2624 2648 2706 2816 3608 3641 3936 3972 4224 5248 5296 5412 7216 7282 7872 7944 8448 10496 10592 10824 10923 13571 14432 14564 15744 15888 21184 21648 21846 27142 28864 29128 31488 31776 40713 42368 43296 43692 54284 57728 58256 63552 81426 84736 86592 87384 108568 115456 116512 127104 149281 162852 173184 174768 217136 233024 254208 298562 325704 346368 349536 434272 447843 466048 597124 651408 699072 868544 895686 932096 1194248 1302816 1398144 1737088 1791372 2388496 2605632 2796288 3474176 3582744 4776992 5211264 7165488 9553984 10422528 14330976 19107968 28661952 38215936 57323904 114647808