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91116192 = 25317311801
BaseRepresentation
bin1010110111001…
…01001010100000
320100110011220210
411123211022200
5141311204232
613012534120
72154321606
oct533451240
9210404823
1091116192
1147483a42
1226621340
1315b5300b
14c15b876
157eec5cc
hex56e52a0

91116192 has 96 divisors (see below), whose sum is σ = 261563904. Its totient is φ = 27648000.

The previous prime is 91116187. The next prime is 91116197. The reversal of 91116192 is 29161119.

It is an interprime number because it is at equal distance from previous prime (91116187) and next prime (91116197).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (91116197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49692 + ... + 51492.

It is an arithmetic number, because the mean of its divisors is an integer number (2724624).

Almost surely, 291116192 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 91116192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130781952).

91116192 is an abundant number, since it is smaller than the sum of its proper divisors (170447712).

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

91116192 is a wasteful number, since it uses less digits than its factorization.

91116192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1854 counting only the distinct ones).

The product of its digits is 972, while the sum is 30.

The square root of 91116192 is about 9545.4801869785. The cubic root of 91116192 is about 449.9855007674.

The spelling of 91116192 in words is "ninety-one million, one hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 1801 2108 2976 3162 3602 4216 5403 6324 7204 8432 10806 12648 14408 16864 21612 25296 28816 30617 43224 50592 55831 57632 61234 86448 91851 111662 122468 167493 172896 183702 223324 244936 334986 367404 446648 489872 669972 734808 893296 949127 979744 1339944 1469616 1786592 1898254 2679888 2847381 2939232 3796508 5359776 5694762 7593016 11389524 15186032 22779048 30372064 45558096 91116192