Search a number
-
+
5173416 = 233343557
BaseRepresentation
bin10011101111000010101000
3100201211121000
4103233002220
52311022131
6302515000
761654563
oct23570250
910654530
105173416
112a13956
121895a60
1310c19c1
149894da
156c2ce6
hex4ef0a8

5173416 has 64 divisors (see below), whose sum is σ = 14731200. Its totient is φ = 1681344.

The previous prime is 5173409. The next prime is 5173439. The reversal of 5173416 is 6143715.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5173416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9010 + ... + 9566.

It is an arithmetic number, because the mean of its divisors is an integer number (230175).

Almost surely, 25173416 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 5173416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365600).

5173416 is an abundant number, since it is smaller than the sum of its proper divisors (9557784).

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

5173416 is a wasteful number, since it uses less digits than its factorization.

5173416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 5173416 is about 2274.5144536802. The cubic root of 5173416 is about 172.9520844726.

Subtracting 5173416 from its reverse (6143715), we obtain a cube (970299 = 993).

It can be divided in two parts, 51 and 73416, that multiplied together give a triangular number (3744216 = T2736).

The spelling of 5173416 in words is "five million, one hundred seventy-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 557 774 1032 1114 1161 1548 1671 2228 2322 3096 3342 4456 4644 5013 6684 9288 10026 13368 15039 20052 23951 30078 40104 47902 60156 71853 95804 120312 143706 191608 215559 287412 431118 574824 646677 862236 1293354 1724472 2586708 5173416