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82809750 = 2353412693
BaseRepresentation
bin1001110111110…
…01001110010110
312202211011121210
410323321032112
5132144403000
612114522250
72023604562
oct473711626
9182734553
1082809750
1142820211
1223896386
131420526a
14add86a2
15740b350
hex4ef9396

82809750 has 64 divisors (see below), whose sum is σ = 211813056. Its totient is φ = 21536000.

The previous prime is 82809743. The next prime is 82809763. The reversal of 82809750 is 5790828.

It is a junction number, because it is equal to n+sod(n) for n = 82809699 and 82809708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29404 + ... + 32096.

It is an arithmetic number, because the mean of its divisors is an integer number (3309579).

Almost surely, 282809750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82809750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105906528).

82809750 is an abundant number, since it is smaller than the sum of its proper divisors (129003306).

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

82809750 is a wasteful number, since it uses less digits than its factorization.

82809750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 82809750 is about 9099.9862637259. The cubic root of 82809750 is about 435.8735254459.

The spelling of 82809750 in words is "eighty-two million, eight hundred nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 125 150 205 246 250 375 410 615 750 1025 1230 2050 2693 3075 5125 5386 6150 8079 10250 13465 15375 16158 26930 30750 40395 67325 80790 110413 134650 201975 220826 331239 336625 403950 552065 662478 673250 1009875 1104130 1656195 2019750 2760325 3312390 5520650 8280975 13801625 16561950 27603250 41404875 82809750