Search a number
-
+
91197792 = 2533717887
BaseRepresentation
bin1010110111110…
…01000101100000
320100121022212000
411123321011200
5141321312132
613014404000
72155111530
oct533710540
9210538760
1091197792
114752a284
1226660600
1315b811ba
14c17d4c0
15801687c
hex56f9160

91197792 has 192 divisors, whose sum is σ = 322237440. Its totient is φ = 24496128.

The previous prime is 91197709. The next prime is 91197803. The reversal of 91197792 is 29779119.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 102373 + ... + 103259.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320).

Almost surely, 291197792 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 91197792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

91197792 is an abundant number, since it is smaller than the sum of its proper divisors (231039648).

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

91197792 is a wasteful number, since it uses less digits than its factorization.

91197792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 916 counting only the distinct ones).

The product of its digits is 71442, while the sum is 45.

The square root of 91197792 is about 9549.7535046723. The cubic root of 91197792 is about 450.1197903311.

The spelling of 91197792 in words is "ninety-one million, one hundred ninety-seven thousand, seven hundred ninety-two".