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85943904 = 2533128879
BaseRepresentation
bin1010001111101…
…10011001100000
312222201101212120
411013312121200
5134000201104
612310024240
72062340214
oct507663140
9188641776
1085943904
1144570a22
1224948080
1314a619a7
14b5b2944
157829cd9
hex51f6660

85943904 has 48 divisors (see below), whose sum is σ = 232888320. Its totient is φ = 27722880.

The previous prime is 85943903. The next prime is 85943947. The reversal of 85943904 is 40934958.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×859439042 = 14772709269522432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85943903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11464 + ... + 17415.

It is an arithmetic number, because the mean of its divisors is an integer number (4851840).

Almost surely, 285943904 is an apocalyptic number.

It is an amenable number.

85943904 is an abundant number, since it is smaller than the sum of its proper divisors (146944416).

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

85943904 is a wasteful number, since it uses less digits than its factorization.

85943904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28923 (or 28915 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 85943904 is about 9270.5935085085. The cubic root of 85943904 is about 441.3045032681.

The spelling of 85943904 in words is "eighty-five million, nine hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 28879 57758 86637 115516 173274 231032 346548 462064 693096 895249 924128 1386192 1790498 2685747 2772384 3580996 5371494 7161992 10742988 14323984 21485976 28647968 42971952 85943904