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82493250 = 2353719827
BaseRepresentation
bin1001110101010…
…11111101000010
312202020002110120
410322223331002
5132104241000
612104041110
72021116050
oct472537502
9182202416
1082493250
1142624444
1223763196
1314124198
14ad551d0
1573976a0
hex4eabf42

82493250 has 128 divisors (see below), whose sum is σ = 248002560. Its totient is φ = 17841600.

The previous prime is 82493237. The next prime is 82493273. The reversal of 82493250 is 5239428.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99337 + ... + 100163.

It is an arithmetic number, because the mean of its divisors is an integer number (1937520).

Almost surely, 282493250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82493250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124001280).

82493250 is an abundant number, since it is smaller than the sum of its proper divisors (165509310).

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

82493250 is a wasteful number, since it uses less digits than its factorization.

82493250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 82493250 is about 9082.5794794210. The cubic root of 82493250 is about 435.3175116153.

The spelling of 82493250 in words is "eighty-two million, four hundred ninety-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 125 133 150 175 190 210 250 266 285 350 375 399 475 525 570 665 750 798 827 875 950 1050 1330 1425 1654 1750 1995 2375 2481 2625 2850 3325 3990 4135 4750 4962 5250 5789 6650 7125 8270 9975 11578 12405 14250 15713 16625 17367 19950 20675 24810 28945 31426 33250 34734 41350 47139 49875 57890 62025 78565 86835 94278 99750 103375 109991 124050 144725 157130 173670 206750 219982 235695 289450 310125 329973 392825 434175 471390 549955 620250 659946 723625 785650 868350 1099910 1178475 1447250 1649865 1964125 2170875 2356950 2749775 3299730 3928250 4341750 5499550 5892375 8249325 11784750 13748875 16498650 27497750 41246625 82493250