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5124416 = 261129251
BaseRepresentation
bin10011100011000101000000
3100122100101012
4103203011000
52302440131
6301500052
761361663
oct23430500
910570335
105124416
112990060
121871628
1310a55cb
149756da
156b352b
hex4e3140

5124416 has 56 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 2240000.

The previous prime is 5124409. The next prime is 5124419. The reversal of 5124416 is 6144215.

5124416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5124391 and 5124400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5124419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20291 + ... + 20541.

It is an arithmetic number, because the mean of its divisors is an integer number (205740).

Almost surely, 25124416 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 5124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

5124416 is an abundant number, since it is smaller than the sum of its proper divisors (6397024).

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

5124416 is a wasteful number, since it uses less digits than its factorization.

5124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 5124416 is about 2263.7172968372. The cubic root of 5124416 is about 172.4043129610.

It can be divided in two parts, 5 and 124416, that added together give a palindrome (124421).

The spelling of 5124416 in words is "five million, one hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 251 319 352 464 502 638 704 928 1004 1276 1856 2008 2552 2761 4016 5104 5522 7279 8032 10208 11044 14558 16064 20416 22088 29116 44176 58232 80069 88352 116464 160138 176704 232928 320276 465856 640552 1281104 2562208 5124416