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5088636 = 2233753127
BaseRepresentation
bin10011011010010101111100
3100120112022000
4103122111330
52300314021
6301022300
761152450
oct23322574
910515260
105088636
112966193
121854990
131092237
14966660
156a7b26
hex4da57c

5088636 has 96 divisors (see below), whose sum is σ = 15482880. Its totient is φ = 1415232.

The previous prime is 5088631. The next prime is 5088649. The reversal of 5088636 is 6368805.

5088636 = T398 + T399 + ... + T453.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5088636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5088631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40005 + ... + 40131.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 25088636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5088636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741440).

5088636 is an abundant number, since it is smaller than the sum of its proper divisors (10394244).

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

5088636 is a wasteful number, since it uses less digits than its factorization.

5088636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5088636 is about 2255.8005230960. The cubic root of 5088636 is about 172.0021182360.

The spelling of 5088636 in words is "five million, eighty-eight thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 127 159 189 212 252 254 318 371 378 381 477 508 636 742 756 762 889 954 1113 1143 1431 1484 1524 1778 1908 2226 2286 2667 2862 3339 3429 3556 4452 4572 5334 5724 6678 6731 6858 8001 10017 10668 13356 13462 13716 16002 20034 20193 24003 26924 32004 40068 40386 47117 48006 60579 80772 94234 96012 121158 141351 181737 188468 242316 282702 363474 424053 565404 726948 848106 1272159 1696212 2544318 5088636