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85283900 = 225213172227
BaseRepresentation
bin1010001010101…
…01010000111100
312221110212111222
411011111100330
5133313041100
612243532512
72053621052
oct505252074
9187425458
1085283900
1144160069
122468a138
1314890460
14b4801d2
157749485
hex515543c

85283900 has 108 divisors (see below), whose sum is σ = 212647848. Its totient is φ = 29506560.

The previous prime is 85283899. The next prime is 85283903. The reversal of 85283900 is 938258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85283903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 375587 + ... + 375813.

Almost surely, 285283900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85283900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106323924).

85283900 is an abundant number, since it is smaller than the sum of its proper divisors (127363948).

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

85283900 is a wasteful number, since it uses less digits than its factorization.

85283900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 85283900 is about 9234.9282617679. The cubic root of 85283900 is about 440.1719369364.

The spelling of 85283900 in words is "eighty-five million, two hundred eighty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 227 260 289 325 340 425 442 454 578 650 850 884 908 1105 1135 1156 1300 1445 1700 2210 2270 2890 2951 3757 3859 4420 4540 5525 5675 5780 5902 7225 7514 7718 11050 11350 11804 14450 14755 15028 15436 18785 19295 22100 22700 28900 29510 37570 38590 50167 59020 65603 73775 75140 77180 93925 96475 100334 131206 147550 187850 192950 200668 250835 262412 295100 328015 375700 385900 501670 656030 852839 1003340 1254175 1312060 1640075 1705678 2508350 3280150 3411356 4264195 5016700 6560300 8528390 17056780 21320975 42641950 85283900