Search a number
-
+
91642386 = 23113147953
BaseRepresentation
bin1010111011001…
…01101000010010
320101102220201110
411131211220102
5141430024021
613032114150
72161642653
oct535455022
9211386643
1091642386
1147803310
1226835956
1315ca8684
14c25752a
1580a3476
hex5765a12

91642386 has 64 divisors (see below), whose sum is σ = 211009536. Its totient is φ = 26275200.

The previous prime is 91642381. The next prime is 91642387. The reversal of 91642386 is 68324619.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (91642381) 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 31 ways as a sum of consecutive naturals, for example, 95686 + ... + 96638.

It is an arithmetic number, because the mean of its divisors is an integer number (3297024).

Almost surely, 291642386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91642386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105504768).

91642386 is an abundant number, since it is smaller than the sum of its proper divisors (119367150).

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

91642386 is a wasteful number, since it uses less digits than its factorization.

91642386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047.

The product of its digits is 62208, while the sum is 39.

The square root of 91642386 is about 9573.0029771227. The cubic root of 91642386 is about 450.8500574140.

The spelling of 91642386 in words is "ninety-one million, six hundred forty-two thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 22 31 33 47 62 66 93 94 141 186 282 341 517 682 953 1023 1034 1457 1551 1906 2046 2859 2914 3102 4371 5718 8742 10483 16027 20966 29543 31449 32054 44791 48081 59086 62898 88629 89582 96162 134373 177258 268746 324973 492701 649946 974919 985402 1388521 1478103 1949838 2777042 2956206 4165563 8331126 15273731 30547462 45821193 91642386