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69878250 = 23253132389
BaseRepresentation
bin1000010101001…
…00000111101010
311212111011221100
410022210013222
5120342101000
610533422230
71505645451
oct412440752
9155434840
1069878250
1136498622
121b49a976
13116282a0
1493cdb98
156204a00
hex42a41ea

69878250 has 96 divisors (see below), whose sum is σ = 203570640. Its totient is φ = 17193600.

The previous prime is 69878233. The next prime is 69878251. The reversal of 69878250 is 5287896.

It can be written as a sum of positive squares in 8 ways, for example, as 1766241 + 68112009 = 1329^2 + 8253^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 69878196 and 69878205.

It is not an unprimeable number, because it can be changed into a prime (69878251) 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 47 ways as a sum of consecutive naturals, for example, 28056 + ... + 30444.

Almost surely, 269878250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69878250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101785320).

69878250 is an abundant number, since it is smaller than the sum of its proper divisors (133692390).

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

69878250 is a wasteful number, since it uses less digits than its factorization.

69878250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2412 counting only the distinct ones).

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

The square root of 69878250 is about 8359.3211446863. The cubic root of 69878250 is about 411.8894548991.

The spelling of 69878250 in words is "sixty-nine million, eight hundred seventy-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 375 390 450 585 650 750 975 1125 1170 1625 1950 2250 2389 2925 3250 4778 4875 5850 7167 9750 11945 14334 14625 21501 23890 29250 31057 35835 43002 59725 62114 71670 93171 107505 119450 155285 179175 186342 215010 279513 298625 310570 358350 465855 537525 559026 597250 776425 895875 931710 1075050 1397565 1552850 1791750 2329275 2687625 2795130 3882125 4658550 5375250 6987825 7764250 11646375 13975650 23292750 34939125 69878250