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8046045 = 325724189
BaseRepresentation
bin11110101100010111011101
3120010210002200
4132230113131
54024433140
6444242113
7125250600
oct36542735
916123080
108046045
1145a6127
122840339
131889397
1410d6337
15a8e030
hex7ac5dd

8046045 has 72 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 3548160.

The previous prime is 8046043. The next prime is 8046061. The reversal of 8046045 is 5406408.

It can be written as a sum of positive squares in 4 ways, for example, as 127449 + 7918596 = 357^2 + 2814^2 .

It is not a de Polignac number, because 8046045 - 21 = 8046043 is a prime.

It is a Curzon number.

8046045 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8046041) 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, 90361 + ... + 90449.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 28046045 is an apocalyptic number.

It is an amenable number.

8046045 is an abundant number, since it is smaller than the sum of its proper divisors (8759835).

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

8046045 is a wasteful number, since it uses less digits than its factorization.

8046045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8046045 is about 2836.5551290253. Note that the first 3 decimals coincide. The cubic root of 8046045 is about 200.3829745178.

It can be divided in two parts, 804604 and 5, that added together give a square (804609 = 8972).

The spelling of 8046045 in words is "eight million, forty-six thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 49 63 89 105 123 147 205 245 267 287 315 369 441 445 615 623 735 801 861 1335 1435 1845 1869 2009 2205 2583 3115 3649 4005 4305 4361 5607 6027 9345 10045 10947 12915 13083 18081 18245 21805 25543 28035 30135 32841 39249 54735 65415 76629 90405 127715 164205 178801 196245 229887 383145 536403 894005 1149435 1609209 2682015 8046045