Search a number
-
+
5078916 = 2233313741
BaseRepresentation
bin10011010111111110000100
3100120000222000
4103113332010
52300011131
6300505300
761112223
oct23277604
910500860
105078916
112959957
12184b230
13108a99b
14962cba
156a4ce6
hex4d7f84

5078916 has 96 divisors (see below), whose sum is σ = 14300160. Its totient is φ = 1555200.

The previous prime is 5078911. The next prime is 5078933. The reversal of 5078916 is 6198705.

5078916 = T165 + T166 + ... + T326.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5078911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123856 + ... + 123896.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

Almost surely, 25078916 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 5078916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150080).

5078916 is an abundant number, since it is smaller than the sum of its proper divisors (9221244).

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

5078916 is a wasteful number, since it uses less digits than its factorization.

5078916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5078916 is about 2253.6450474731. The cubic root of 5078916 is about 171.8925324705.

It can be divided in two parts, 50789 and 16, that added together give a palindrome (50805).

The spelling of 5078916 in words is "five million, seventy-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 37 41 54 62 74 82 93 108 111 123 124 148 164 186 222 246 279 333 369 372 444 492 558 666 738 837 999 1107 1116 1147 1271 1332 1476 1517 1674 1998 2214 2294 2542 3034 3348 3441 3813 3996 4428 4551 4588 5084 6068 6882 7626 9102 10323 11439 13653 13764 15252 18204 20646 22878 27306 30969 34317 40959 41292 45756 47027 54612 61938 68634 81918 94054 123876 137268 141081 163836 188108 282162 423243 564324 846486 1269729 1692972 2539458 5078916