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91390416 = 24313167877
BaseRepresentation
bin1010111001010…
…00000111010000
320100222010002020
411130220013100
5141343443131
613022451440
72156543235
oct534500720
9210863066
1091390416
1147650a77
1226733b80
1315c1aa90
14c1cd78c
158053996
hex57281d0

91390416 has 80 divisors (see below), whose sum is σ = 256066944. Its totient is φ = 27919872.

The previous prime is 91390373. The next prime is 91390417. The reversal of 91390416 is 61409319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91390417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103770 + ... + 104646.

Almost surely, 291390416 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 91390416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128033472).

91390416 is an abundant number, since it is smaller than the sum of its proper divisors (164676528).

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

91390416 is a wasteful number, since it uses less digits than its factorization.

91390416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 91390416 is about 9559.8334713529. The cubic root of 91390416 is about 450.4364752715.

It can be divided in two parts, 91390 and 416, that added together give a triangular number (91806 = T428).

The spelling of 91390416 in words is "ninety-one million, three hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 167 208 312 334 501 624 668 877 1002 1336 1754 2004 2171 2631 2672 3508 4008 4342 5262 6513 7016 8016 8684 10524 11401 13026 14032 17368 21048 22802 26052 34203 34736 42096 45604 52104 68406 91208 104208 136812 146459 182416 273624 292918 439377 547248 585836 878754 1171672 1757508 1903967 2343344 3515016 3807934 5711901 7030032 7615868 11423802 15231736 22847604 30463472 45695208 91390416