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765540045 = 33559223431
BaseRepresentation
bin101101101000010…
…011011011001101
31222100111110112000
4231220103123031
53031434240140
6203544102513
724653661114
oct5550233315
91870443460
10765540045
11363144626
12194464a39
13c27a8b9a
1473958c7b
154731ba30
hex2da136cd

765540045 has 64 divisors (see below), whose sum is σ = 1393459200. Its totient is φ = 398640960.

The previous prime is 765540037. The next prime is 765540049. The reversal of 765540045 is 540045567.

It is a happy number.

765540045 is a `hidden beast` number, since 76 + 5 + 540 + 0 + 45 = 666.

765540045 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 765540045 - 23 = 765540037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 765539991 and 765540009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765540049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1775980 + ... + 1776410.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 2765540045 is an apocalyptic number.

It is an amenable number.

765540045 is a deficient number, since it is larger than the sum of its proper divisors (627919155).

765540045 is a wasteful number, since it uses less digits than its factorization.

765540045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 765540045 is about 27668.3943336074. The cubic root of 765540045 is about 914.7925893761.

The spelling of 765540045 in words is "seven hundred sixty-five million, five hundred forty thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 59 135 177 223 295 431 531 669 885 1115 1293 1593 2007 2155 2655 3345 3879 6021 6465 7965 10035 11637 13157 19395 25429 30105 39471 58185 65785 76287 96113 118413 127145 197355 228861 288339 355239 381435 480565 592065 686583 865017 1144305 1441695 1776195 2595051 3432915 4325085 5670667 12975255 17012001 28353335 51036003 85060005 153108009 255180015 765540045