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85820976 = 24322920551
BaseRepresentation
bin1010001110110…
…00011000110000
312222111011020200
411013120120300
5133432232401
612303235200
72061315633
oct507303060
9188434220
1085820976
114449762a
12248a8b00
1314a1aa57
14b57dc1a
157803686
hex51d8630

85820976 has 60 divisors (see below), whose sum is σ = 248473680. Its totient is φ = 27619200.

The previous prime is 85820957. The next prime is 85820983. The reversal of 85820976 is 67902858.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6100 + ... + 14451.

It is an arithmetic number, because the mean of its divisors is an integer number (4141228).

Almost surely, 285820976 is an apocalyptic number.

It is an amenable number.

85820976 is an abundant number, since it is smaller than the sum of its proper divisors (162652704).

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

85820976 is a wasteful number, since it uses less digits than its factorization.

85820976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20594 (or 20585 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 85820976 is about 9263.9611398149. The cubic root of 85820976 is about 441.0939994297.

The spelling of 85820976 in words is "eighty-five million, eight hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 20551 41102 61653 82204 123306 164408 184959 246612 328816 369918 493224 595979 739836 986448 1191958 1479672 1787937 2383916 2959344 3575874 4767832 5363811 7151748 9535664 10727622 14303496 21455244 28606992 42910488 85820976