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945492093 = 327213831987
BaseRepresentation
bin111000010110110…
…001000001111101
32102220002222022200
4320112301001331
53414021221333
6233453102113
732300356500
oct7026610175
92386088280
10945492093
11445784227
12224787939
13120b63ca0
148d7dd137
1558015c13
hex385b107d

945492093 has 72 divisors (see below), whose sum is σ = 1732375008. Its totient is φ = 492464448.

The previous prime is 945492083. The next prime is 945492109. The reversal of 945492093 is 390294549.

It is a happy number.

945492093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 945492093 - 25 = 945492061 is a prime.

Together with 786882915 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945492083) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 474846 + ... + 476832.

It is an arithmetic number, because the mean of its divisors is an integer number (24060764).

Almost surely, 2945492093 is an apocalyptic number.

It is an amenable number.

945492093 is a deficient number, since it is larger than the sum of its proper divisors (786882915).

945492093 is a wasteful number, since it uses less digits than its factorization.

945492093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 945492093 is about 30748.8551494198. The cubic root of 945492093 is about 981.4901988250.

The spelling of 945492093 in words is "nine hundred forty-five million, four hundred ninety-two thousand, ninety-three".

Divisors: 1 3 7 9 13 21 39 49 63 83 91 117 147 249 273 441 581 637 747 819 1079 1743 1911 1987 3237 4067 5229 5733 5961 7553 9711 12201 13909 17883 22659 25831 36603 41727 52871 67977 77493 97363 125181 158613 164921 180817 232479 292089 475839 494763 542451 876267 1154447 1265719 1484289 1627353 2143973 3463341 3797157 6431919 8081129 10390023 11391471 15007811 19295757 24243387 45023433 72730161 105054677 135070299 315164031 945492093