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5108688 = 2432132729
BaseRepresentation
bin10011011111001111010000
3100121112210200
4103133033100
52301434223
6301255200
761265064
oct23371720
910545720
105108688
11297a262
121864500
13109b3c0
1496daa4
156ada43
hex4df3d0

5108688 has 60 divisors (see below), whose sum is σ = 15402660. Its totient is φ = 1571328.

The previous prime is 5108659. The next prime is 5108713. The reversal of 5108688 is 8868015.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 2039184 = 1752^2 + 1428^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 508 + ... + 3236.

It is an arithmetic number, because the mean of its divisors is an integer number (256711).

Almost surely, 25108688 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 5108688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701330).

5108688 is an abundant number, since it is smaller than the sum of its proper divisors (10293972).

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

5108688 is a wasteful number, since it uses less digits than its factorization.

5108688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 5108688 is about 2260.2406951473. The cubic root of 5108688 is about 172.2277494969.

The spelling of 5108688 in words is "five million, one hundred eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2729 5458 8187 10916 16374 21832 24561 32748 35477 43664 49122 65496 70954 98244 106431 130992 141908 196488 212862 283816 319293 392976 425724 567632 638586 851448 1277172 1702896 2554344 5108688