Search a number
-
+
5116776 = 2337219229
BaseRepresentation
bin10011100001001101101000
3100121221220020
4103201031220
52302214101
6301400440
761330500
oct23411550
910557806
105116776
112985345
121869120
1310a1ca2
14972a00
156b1136
hex4e1368

5116776 has 96 divisors (see below), whose sum is σ = 15732000. Its totient is φ = 1378944.

The previous prime is 5116763. The next prime is 5116823. The reversal of 5116776 is 6776115.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22230 + ... + 22458.

It is an arithmetic number, because the mean of its divisors is an integer number (163875).

Almost surely, 25116776 is an apocalyptic number.

5116776 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 5116776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866000).

5116776 is an abundant number, since it is smaller than the sum of its proper divisors (10615224).

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

5116776 is a wasteful number, since it uses less digits than its factorization.

5116776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 5116776 is about 2262.0291775307. The cubic root of 5116776 is about 172.3185910574.

The spelling of 5116776 in words is "five million, one hundred sixteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 229 266 294 392 399 456 458 532 588 687 798 916 931 1064 1176 1374 1596 1603 1832 1862 2748 2793 3192 3206 3724 4351 4809 5496 5586 6412 7448 8702 9618 11172 11221 12824 13053 17404 19236 22344 22442 26106 30457 33663 34808 38472 44884 52212 60914 67326 89768 91371 104424 121828 134652 182742 213199 243656 269304 365484 426398 639597 730968 852796 1279194 1705592 2558388 5116776