Search a number
-
+
91000192 = 271017039
BaseRepresentation
bin1010110110010…
…00110110000000
320100020021210111
411123020312000
5141244001232
613010241104
72153326453
oct533106600
9210207714
1091000192
1147404878
1226586194
1315b1228a
14c12b49a
157ec8047
hex56c8d80

91000192 has 32 divisors (see below), whose sum is σ = 183110400. Its totient is φ = 45043200.

The previous prime is 91000187. The next prime is 91000193. The reversal of 91000192 is 29100019.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91000193) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 9409 + ... + 16447.

It is an arithmetic number, because the mean of its divisors is an integer number (5722200).

Almost surely, 291000192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91555200).

91000192 is an abundant number, since it is smaller than the sum of its proper divisors (92110208).

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

91000192 is a wasteful number, since it uses less digits than its factorization.

91000192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 91000192 is about 9539.4020776986. The cubic root of 91000192 is about 449.7944608661.

The spelling of 91000192 in words is "ninety-one million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 7039 12928 14078 28156 56312 112624 225248 450496 710939 900992 1421878 2843756 5687512 11375024 22750048 45500096 91000192