Search a number
-
+
5128816 = 2471123181
BaseRepresentation
bin10011100100001001110000
3100122120102011
4103210021300
52303110231
6301532304
761410550
oct23441160
910576364
105128816
1129933a0
121874094
1310a7604
14977160
156b49b1
hex4e4270

5128816 has 80 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1900800.

The previous prime is 5128789. The next prime is 5128817. The reversal of 5128816 is 6188215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28246 + ... + 28426.

Almost surely, 25128816 is an apocalyptic number.

5128816 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 5128816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

5128816 is an abundant number, since it is smaller than the sum of its proper divisors (7870352).

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

5128816 is a wasteful number, since it uses less digits than its factorization.

5128816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its digits is 3840, while the sum is 31.

The square root of 5128816 is about 2264.6889411131. The cubic root of 5128816 is about 172.4536429378.

It can be divided in two parts, 5 and 128816, that added together give a palindrome (128821).

The spelling of 5128816 in words is "five million, one hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 181 184 253 308 322 362 368 506 616 644 724 1012 1232 1267 1288 1448 1771 1991 2024 2534 2576 2896 3542 3982 4048 4163 5068 7084 7964 8326 10136 13937 14168 15928 16652 20272 27874 28336 29141 31856 33304 45793 55748 58282 66608 91586 111496 116564 183172 222992 233128 320551 366344 466256 641102 732688 1282204 2564408 5128816