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115522848 = 253476367
BaseRepresentation
bin1101110001010…
…11110100100000
322001101011120000
412320223310200
5214033212343
615244020000
72601633210
oct670536440
9261334500
10115522848
115a234031
1232831600
131ac1a11c
14114b2240
15a21ded3
hex6e2bd20

115522848 has 120 divisors (see below), whose sum is σ = 388346112. Its totient is φ = 33001344.

The previous prime is 115522777. The next prime is 115522873. The reversal of 115522848 is 848225511.

It is a super-2 number, since 2×1155228482 = 26691056820062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14961 + ... + 21327.

Almost surely, 2115522848 is an apocalyptic number.

115522848 is a gapful number since it is divisible by the number (18) 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 115522848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194173056).

115522848 is an abundant number, since it is smaller than the sum of its proper divisors (272823264).

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

115522848 is an equidigital number, since it uses as much as digits as its factorization.

115522848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6379 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 115522848 is about 10748.1555627000. The cubic root of 115522848 is about 487.0302789158.

It can be divided in two parts, 11552 and 2848, that added together give a square (14400 = 1202).

The spelling of 115522848 in words is "one hundred fifteen million, five hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 6367 9072 12734 18144 19101 25468 38202 44569 50936 57303 76404 89138 101872 114606 133707 152808 171909 178276 203744 229212 267414 305616 343818 356552 401121 458424 515727 534828 611232 687636 713104 802242 916848 1031454 1069656 1203363 1375272 1426208 1604484 1833696 2062908 2139312 2406726 2750544 3208968 3610089 4125816 4278624 4813452 5501088 6417936 7220178 8251632 9626904 12835872 14440356 16503264 19253808 28880712 38507616 57761424 115522848