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85750000 = 245673
BaseRepresentation
bin1010001110001…
…11000011110000
312222100112212221
411013013003300
5133423000000
612301530424
72060602000
oct507070360
9188315787
1085750000
1144449276
1224873a14
13149c465b
14b562000
1577dc61a
hex51c70f0

85750000 has 140 divisors (see below), whose sum is σ = 242184400. Its totient is φ = 29400000.

The previous prime is 85749959. The next prime is 85750009. The reversal of 85750000 is 5758.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85750009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12249997 + ... + 12250003.

Almost surely, 285750000 is an apocalyptic number.

85750000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121092200).

85750000 is an abundant number, since it is smaller than the sum of its proper divisors (156434400).

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

85750000 is an frugal number, since it uses more digits than its factorization.

85750000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 85750000 is about 9260.1295887261. The cubic root of 85750000 is about 440.9723674632.

Adding to 85750000 its reverse (5758), we get a palindrome (85755758).

The spelling of 85750000 in words is "eighty-five million, seven hundred fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 343 350 392 400 490 500 560 625 686 700 784 875 980 1000 1225 1250 1372 1400 1715 1750 1960 2000 2450 2500 2744 2800 3125 3430 3500 3920 4375 4900 5000 5488 6125 6250 6860 7000 8575 8750 9800 10000 12250 12500 13720 14000 15625 17150 17500 19600 21875 24500 25000 27440 30625 31250 34300 35000 42875 43750 49000 50000 61250 62500 68600 70000 85750 87500 98000 109375 122500 125000 137200 153125 171500 175000 214375 218750 245000 250000 306250 343000 350000 428750 437500 490000 612500 686000 765625 857500 875000 1071875 1225000 1531250 1715000 1750000 2143750 2450000 3062500 3430000 4287500 5359375 6125000 8575000 10718750 12250000 17150000 21437500 42875000 85750000