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5003775 = 34527353
BaseRepresentation
bin10011000101100111111111
3100102012220000
4103011213333
52240110100
6255125343
760350160
oct23054777
910365800
105003775
112908457
121813853
13106271a
14943767
1568c900
hex4c59ff

5003775 has 60 divisors (see below), whose sum is σ = 10622832. Its totient is φ = 2280960.

The previous prime is 5003773. The next prime is 5003809. The reversal of 5003775 is 5773005.

It is not a de Polignac number, because 5003775 - 21 = 5003773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003771) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13999 + ... + 14351.

Almost surely, 25003775 is an apocalyptic number.

5003775 is an abundant number, since it is smaller than the sum of its proper divisors (5619057).

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

5003775 is a wasteful number, since it uses less digits than its factorization.

With its successor (5003776) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (368).

5003775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 5003775 is about 2236.9119338946. The cubic root of 5003775 is about 171.0406182365.

It can be divided in two parts, 5003 and 775, that added together give a triangular number (5778 = T107).

The spelling of 5003775 in words is "five million, three thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 353 405 525 567 675 945 1059 1575 1765 2025 2471 2835 3177 4725 5295 7413 8825 9531 12355 14175 15885 22239 26475 28593 37065 47655 61775 66717 79425 111195 142965 185325 200151 238275 333585 555975 714825 1000755 1667925 5003775