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85943968 = 2511244159
BaseRepresentation
bin1010001111101…
…10011010100000
312222201101221221
411013312122200
5134000201333
612310024424
72062340335
oct507663240
9188641857
1085943968
1144570a80
1224948114
1314a61a26
14b5b298c
157829d2d
hex51f66a0

85943968 has 24 divisors (see below), whose sum is σ = 184584960. Its totient is φ = 39065280.

The previous prime is 85943953. The next prime is 85943969. The reversal of 85943968 is 86934958.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85943969) 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 3 ways as a sum of consecutive naturals, for example, 121728 + ... + 122431.

It is an arithmetic number, because the mean of its divisors is an integer number (7691040).

Almost surely, 285943968 is an apocalyptic number.

85943968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85943968 is an abundant number, since it is smaller than the sum of its proper divisors (98640992).

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

85943968 is a wasteful number, since it uses less digits than its factorization.

85943968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244180 (or 244172 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The square root of 85943968 is about 9270.5969602825. The cubic root of 85943968 is about 441.3046128104.

The spelling of 85943968 in words is "eighty-five million, nine hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 244159 488318 976636 1953272 2685749 3906544 5371498 7813088 10742996 21485992 42971984 85943968