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85807050 = 23527711151
BaseRepresentation
bin1010001110101…
…00111111001010
312222110110010220
411013110333022
5133431311200
612303050510
72061230220
oct507247712
9188413126
1085807050
114448811a
12248a0a36
1314a14604
14b578b10
1577ee4a0
hex51d4fca

85807050 has 96 divisors (see below), whose sum is σ = 246841344. Its totient is φ = 19320000.

The previous prime is 85807049. The next prime is 85807061. The reversal of 85807050 is 5070858.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73975 + ... + 75125.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264).

Almost surely, 285807050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85807050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123420672).

85807050 is an abundant number, since it is smaller than the sum of its proper divisors (161034294).

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

85807050 is a wasteful number, since it uses less digits than its factorization.

85807050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 85807050 is about 9263.2094869975. The cubic root of 85807050 is about 441.0701396556.

The spelling of 85807050 in words is "eighty-five million, eight hundred seven thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 71 75 105 142 150 175 210 213 350 355 426 497 525 710 994 1050 1065 1151 1491 1775 2130 2302 2485 2982 3453 3550 4970 5325 5755 6906 7455 8057 10650 11510 12425 14910 16114 17265 24171 24850 28775 34530 37275 40285 48342 57550 74550 80570 81721 86325 120855 163442 172650 201425 241710 245163 402850 408605 490326 572047 604275 817210 1144094 1208550 1225815 1716141 2043025 2451630 2860235 3432282 4086050 5720470 6129075 8580705 12258150 14301175 17161410 28602350 42903525 85807050