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91316268 = 22336183167
BaseRepresentation
bin1010111000101…
…10000000101100
320100211100101000
411130112000230
5141334110033
613021120300
72156114121
oct534260054
9210740330
1091316268
114760029a
12266b9090
1315bc30c4
14c1b0748
15803ba13
hex571602c

91316268 has 96 divisors (see below), whose sum is σ = 244984320. Its totient is φ = 29401920.

The previous prime is 91316257. The next prime is 91316287. The reversal of 91316268 is 86261319.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (15552) is a multiple of the sum of its prime factors (324).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 546721 + ... + 546887.

It is an arithmetic number, because the mean of its divisors is an integer number (2551920).

Almost surely, 291316268 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 91316268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492160).

91316268 is an abundant number, since it is smaller than the sum of its proper divisors (153668052).

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

91316268 is a wasteful number, since it uses less digits than its factorization.

91316268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 91316268 is about 9555.9545833998. The cubic root of 91316268 is about 450.3146244187.

The spelling of 91316268 in words is "ninety-one million, three hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 83 108 122 166 167 183 244 249 332 334 366 498 501 549 668 732 747 996 1002 1098 1494 1503 1647 2004 2196 2241 2988 3006 3294 4482 4509 5063 6012 6588 8964 9018 10126 10187 13861 15189 18036 20252 20374 27722 30378 30561 40748 41583 45567 55444 60756 61122 83166 91134 91683 122244 124749 136701 166332 182268 183366 249498 273402 275049 366732 374247 498996 546804 550098 748494 845521 1100196 1496988 1691042 2536563 3382084 5073126 7609689 10146252 15219378 22829067 30438756 45658134 91316268