Search a number
-
+
5117376 = 263112423
BaseRepresentation
bin10011100001010111000000
3100121222201110
4103201113000
52302224001
6301403320
761332315
oct23412700
910558643
105117376
112985840
121869540
1310a2344
14972d0c
156b13d6
hex4e15c0

5117376 has 56 divisors (see below), whose sum is σ = 14776704. Its totient is φ = 1550080.

The previous prime is 5117363. The next prime is 5117377. The reversal of 5117376 is 6737115.

5117376 = 155 + 165 + ... + 185.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117377) 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, 901 + ... + 3323.

Almost surely, 25117376 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 5117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388352).

5117376 is an abundant number, since it is smaller than the sum of its proper divisors (9659328).

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

5117376 is a wasteful number, since it uses less digits than its factorization.

5117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2439 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 5117376 is about 2262.1617979269. The cubic root of 5117376 is about 172.3253262303.

It can be divided in two parts, 511 and 7376, that added together give a palindrome (7887).

The spelling of 5117376 in words is "five million, one hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2423 4846 7269 9692 14538 19384 26653 29076 38768 53306 58152 77536 79959 106612 116304 155072 159918 213224 232608 319836 426448 465216 639672 852896 1279344 1705792 2558688 5117376