Search a number
-
+
5102496 = 253272531
BaseRepresentation
bin10011011101101110100000
3100121020022100
4103131232200
52301234441
6301210400
761241040
oct23355640
910536270
105102496
112975643
121860a00
131098639
1496b720
156abcb6
hex4ddba0

5102496 has 72 divisors (see below), whose sum is σ = 16589664. Its totient is φ = 1457280.

The previous prime is 5102473. The next prime is 5102501. The reversal of 5102496 is 6942015.

5102496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751 + ... + 3281.

It is an arithmetic number, because the mean of its divisors is an integer number (230412).

Almost surely, 25102496 is an apocalyptic number.

5102496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5102496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294832).

5102496 is an abundant number, since it is smaller than the sum of its proper divisors (11487168).

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

5102496 is a wasteful number, since it uses less digits than its factorization.

5102496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5102496 is about 2258.8705142172. The cubic root of 5102496 is about 172.1581383187.

The spelling of 5102496 in words is "five million, one hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2531 5062 7593 10124 15186 17717 20248 22779 30372 35434 40496 45558 53151 60744 70868 80992 91116 106302 121488 141736 159453 182232 212604 242976 283472 318906 364464 425208 566944 637812 728928 850416 1275624 1700832 2551248 5102496