Search a number
-
+
5106496 = 26731093
BaseRepresentation
bin10011011110101101000000
3100121102210111
4103132231000
52301401441
6301241104
761255513
oct23365500
910542714
105106496
11297864a
121863194
13109a3c5
1496cd7a
156ad081
hex4deb40

5106496 has 28 divisors (see below), whose sum is σ = 10281412. Its totient is φ = 2515968.

The previous prime is 5106487. The next prime is 5106527. The reversal of 5106496 is 6946015.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 846400 = 2064^2 + 920^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4126 + ... + 5218.

Almost surely, 25106496 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 5106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140706).

5106496 is an abundant number, since it is smaller than the sum of its proper divisors (5174916).

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

5106496 is a wasteful number, since it uses less digits than its factorization.

5106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 5106496 is about 2259.7557390125. The cubic root of 5106496 is about 172.2031132149.

The spelling of 5106496 in words is "five million, one hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1093 1168 2186 2336 4372 4672 8744 17488 34976 69952 79789 159578 319156 638312 1276624 2553248 5106496