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91688916 = 223114714779
BaseRepresentation
bin1010111011100…
…00111111010100
320101112021112210
411131300333110
5141433021131
613033113420
72162225424
oct535607724
9211467483
1091688916
1147835270
1226858870
1315cc38c7
14c26a484
1580b2146
hex5770fd4

91688916 has 48 divisors (see below), whose sum is σ = 238371840. Its totient is φ = 27191520.

The previous prime is 91688899. The next prime is 91688921. The reversal of 91688916 is 61988619.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

91688916 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186 + ... + 13593.

It is an arithmetic number, because the mean of its divisors is an integer number (4966080).

Almost surely, 291688916 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 91688916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119185920).

91688916 is an abundant number, since it is smaller than the sum of its proper divisors (146682924).

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

91688916 is a wasteful number, since it uses less digits than its factorization.

91688916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14844 (or 14842 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The square root of 91688916 is about 9575.4329406038. The cubic root of 91688916 is about 450.9263485447.

The spelling of 91688916 in words is "ninety-one million, six hundred eighty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 6204 14779 29558 44337 59116 88674 162569 177348 325138 487707 650276 694613 975414 1389226 1950828 2083839 2778452 4167678 7640743 8335356 15281486 22922229 30562972 45844458 91688916