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91541016 = 233572312
BaseRepresentation
bin1010111010011…
…00111000011000
320101020202200000
411131030320120
5141413303031
613030013000
72161041300
oct535147030
9211222600
1091541016
1147744136
12267a7160
1315c714a8
14c22c600
1580833e6
hex574ce18

91541016 has 216 divisors, whose sum is σ = 309041460. Its totient is φ = 25310880.

The previous prime is 91541011. The next prime is 91541083. The reversal of 91541016 is 61014519.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×915410162 = 16759515220624512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91541011) 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 53 ways as a sum of consecutive naturals, for example, 2952921 + ... + 2952951.

Almost surely, 291541016 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 91541016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154520730).

91541016 is an abundant number, since it is smaller than the sum of its proper divisors (217500444).

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

91541016 is a wasteful number, since it uses less digits than its factorization.

91541016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 91541016 is about 9567.7069353111. The cubic root of 91541016 is about 450.6837605217.

The spelling of 91541016 in words is "ninety-one million, five hundred forty-one thousand, sixteen".