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91048386 = 2311313877
BaseRepresentation
bin1010110110101…
…00100111000010
320100022201220110
411123110213002
5141302022021
613011252150
72153620122
oct533244702
9210281813
1091048386
1147438000
12265aa056
1315b2b1b0
14c140c82
157ed7476
hex56d49c2

91048386 has 64 divisors (see below), whose sum is σ = 215945856. Its totient is φ = 25439040.

The previous prime is 91048351. The next prime is 91048411. The reversal of 91048386 is 68384019.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 103380 + ... + 104256.

It is an arithmetic number, because the mean of its divisors is an integer number (3374154).

Almost surely, 291048386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91048386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107972928).

91048386 is an abundant number, since it is smaller than the sum of its proper divisors (124897470).

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

91048386 is a wasteful number, since it uses less digits than its factorization.

91048386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 91048386 is about 9541.9277926423. The cubic root of 91048386 is about 449.8738510596.

The spelling of 91048386 in words is "ninety-one million, forty-eight thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 877 1331 1573 1754 2631 2662 3146 3993 4719 5262 7986 9438 9647 11401 17303 19294 22802 28941 34203 34606 51909 57882 68406 103818 106117 125411 212234 250822 318351 376233 636702 752466 1167287 1379521 2334574 2759042 3501861 4138563 7003722 8277126 15174731 30349462 45524193 91048386