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5088405 = 35732343
BaseRepresentation
bin10011011010010010010101
3100120111222110
4103122102111
52300312110
6301021233
761152000
oct23322225
910514873
105088405
112965aa3
121854819
1310920ba
14966537
156a7a20
hex4da495

5088405 has 64 divisors (see below), whose sum is σ = 10137600. Its totient is φ = 2173248.

The previous prime is 5088401. The next prime is 5088407. The reversal of 5088405 is 5048805.

It is not a de Polignac number, because 5088405 - 22 = 5088401 is a prime.

It is a Curzon number.

5088405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5088401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118314 + ... + 118356.

It is an arithmetic number, because the mean of its divisors is an integer number (158400).

Almost surely, 25088405 is an apocalyptic number.

It is an amenable number.

5088405 is a deficient number, since it is larger than the sum of its proper divisors (5049195).

5088405 is a wasteful number, since it uses less digits than its factorization.

5088405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5088405 is about 2255.7493211791. The cubic root of 5088405 is about 171.9995155025. Note that the first 3 decimals are identical.

The spelling of 5088405 in words is "five million, eighty-eight thousand, four hundred five".

Divisors: 1 3 5 7 15 21 23 35 43 49 69 105 115 129 147 161 215 245 301 343 345 483 645 735 805 903 989 1029 1127 1505 1715 2107 2415 2967 3381 4515 4945 5145 5635 6321 6923 7889 10535 14749 14835 16905 20769 23667 31605 34615 39445 44247 48461 73745 103845 118335 145383 221235 242305 339227 726915 1017681 1696135 5088405