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893609145 = 3351113411129
BaseRepresentation
bin110101010000110…
…110010010111001
32022021111001022000
4311100312102321
53312230443040
6224401051213
731100360322
oct6520662271
92267431260
10893609145
11419467860
1220b326b09
13113199810
1486975449
15536b8130
hex354364b9

893609145 has 128 divisors (see below), whose sum is σ = 1913587200. Its totient is φ = 389836800.

The previous prime is 893609113. The next prime is 893609147. The reversal of 893609145 is 541906398.

It is a happy number.

893609145 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 893609145 - 25 = 893609113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 893609145.

It is not an unprimeable number, because it can be changed into a prime (893609147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 790941 + ... + 792069.

It is an arithmetic number, because the mean of its divisors is an integer number (14949900).

Almost surely, 2893609145 is an apocalyptic number.

It is an amenable number.

893609145 is an abundant number, since it is smaller than the sum of its proper divisors (1019978055).

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

893609145 is a wasteful number, since it uses less digits than its factorization.

893609145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 893609145 is about 29893.2959875622. The cubic root of 893609145 is about 963.1986566222.

The spelling of 893609145 in words is "eight hundred ninety-three million, six hundred nine thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 41 45 55 65 99 117 123 135 143 165 195 205 297 351 369 429 451 495 533 585 615 715 1107 1129 1287 1353 1485 1599 1755 1845 2145 2255 2665 3387 3861 4059 4797 5535 5645 5863 6435 6765 7995 10161 12177 12419 14391 14677 16935 17589 19305 20295 23985 29315 30483 37257 44031 46289 50805 52767 60885 62095 71955 73385 87945 111771 132093 138867 152415 158301 161447 186285 220155 231445 263835 335313 396279 416601 484341 509179 558855 601757 660465 694335 791505 807235 1249803 1453023 1527537 1676565 1805271 1981395 2083005 2421705 2545895 3008785 4359069 4582611 5415813 6249015 6619327 7265115 7637685 9026355 13747833 16247439 19857981 21795345 22913055 27079065 33096635 59573943 68739165 81237195 99289905 178721829 297869715 893609145