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96882750 = 2335331463
BaseRepresentation
bin1011100011001…
…01000000111110
320202022011011000
411301211000332
5144300222000
613340311130
72254326666
oct561450076
9222264130
1096882750
114a762498
12285424a6
13170c1993
14cc1d1a6
15878b000
hex5c6503e

96882750 has 128 divisors (see below), whose sum is σ = 277954560. Its totient is φ = 24948000.

The previous prime is 96882733. The next prime is 96882757. The reversal of 96882750 is 5728869.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 96882696 and 96882705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96882757) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 209019 + ... + 209481.

It is an arithmetic number, because the mean of its divisors is an integer number (2171520).

Almost surely, 296882750 is an apocalyptic number.

96882750 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96882750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138977280).

96882750 is an abundant number, since it is smaller than the sum of its proper divisors (181071810).

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

96882750 is a wasteful number, since it uses less digits than its factorization.

96882750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 96882750 is about 9842.9035350348. The cubic root of 96882750 is about 459.2848844473.

The spelling of 96882750 in words is "ninety-six million, eight hundred eighty-two thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 90 93 125 135 150 155 186 225 250 270 279 310 375 450 463 465 558 675 750 775 837 926 930 1125 1350 1389 1395 1550 1674 2250 2315 2325 2778 2790 3375 3875 4167 4185 4630 4650 6750 6945 6975 7750 8334 8370 11575 11625 12501 13890 13950 14353 20835 20925 23150 23250 25002 28706 34725 34875 41670 41850 43059 57875 62505 69450 69750 71765 86118 104175 104625 115750 125010 129177 143530 173625 208350 209250 215295 258354 312525 347250 358825 387531 430590 520875 625050 645885 717650 775062 1041750 1076475 1291770 1562625 1794125 1937655 2152950 3125250 3229425 3588250 3875310 5382375 6458850 9688275 10764750 16147125 19376550 32294250 48441375 96882750