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83078850 = 2352836673
BaseRepresentation
bin1001111001110…
…10111011000010
312210022211202110
410330322323002
5132232010400
612124400150
72026105251
oct474727302
9183284673
1083078850
1142994408
12239a6056
131429a8aa
14b068798
157460e50
hex4f3aec2

83078850 has 48 divisors (see below), whose sum is σ = 208549152. Its totient is φ = 21884160.

The previous prime is 83078839. The next prime is 83078893. The reversal of 83078850 is 5887038.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83078799 and 83078808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9114 + ... + 15786.

It is an arithmetic number, because the mean of its divisors is an integer number (4344774).

Almost surely, 283078850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83078850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104274576).

83078850 is an abundant number, since it is smaller than the sum of its proper divisors (125470302).

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

83078850 is a wasteful number, since it uses less digits than its factorization.

83078850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6771 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 83078850 is about 9114.7600078115. The cubic root of 83078850 is about 436.3451556646.

The spelling of 83078850 in words is "eighty-three million, seventy-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 150 166 249 415 498 830 1245 2075 2490 4150 6225 6673 12450 13346 20019 33365 40038 66730 100095 166825 200190 333650 500475 553859 1000950 1107718 1661577 2769295 3323154 5538590 8307885 13846475 16615770 27692950 41539425 83078850