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85839040 = 265738321
BaseRepresentation
bin1010001110111…
…00110011000000
312222112002000201
411013130303000
5133433322130
612303454544
72061422410
oct507346300
9188462021
1085839040
11444aa161
12248b7454
1314a26041
14b586640
157808bca
hex51dccc0

85839040 has 56 divisors (see below), whose sum is σ = 233610912. Its totient is φ = 29429760.

The previous prime is 85839023. The next prime is 85839053. The reversal of 85839040 is 4093858.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16921 + ... + 21400.

Almost surely, 285839040 is an apocalyptic number.

85839040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85839040 is an abundant number, since it is smaller than the sum of its proper divisors (147771872).

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

85839040 is a wasteful number, since it uses less digits than its factorization.

85839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38345 (or 38335 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 85839040 is about 9264.9360494285. The cubic root of 85839040 is about 441.1249451006.

The spelling of 85839040 in words is "eighty-five million, eight hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 38321 76642 153284 191605 268247 306568 383210 536494 613136 766420 1072988 1226272 1341235 1532840 2145976 2452544 2682470 3065680 4291952 5364940 6131360 8583904 10729880 12262720 17167808 21459760 42919520 85839040