Search a number
-
+
5181216 = 253311741
BaseRepresentation
bin10011110000111100100000
3100202020021220
4103300330200
52311244331
6303015040
762016405
oct23607440
910666256
105181216
112a197a7
12189a480
1310c5411
1498c2ac
156c5296
hex4f0f20

5181216 has 48 divisors (see below), whose sum is σ = 14047488. Its totient is φ = 1670400.

The previous prime is 5181191. The next prime is 5181217. The reversal of 5181216 is 6121815.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5181217) 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, 2106 + ... + 3846.

It is an arithmetic number, because the mean of its divisors is an integer number (292656).

Almost surely, 25181216 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 5181216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7023744).

5181216 is an abundant number, since it is smaller than the sum of its proper divisors (8866272).

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

5181216 is a wasteful number, since it uses less digits than its factorization.

5181216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1777 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

The square root of 5181216 is about 2276.2284595356. The cubic root of 5181216 is about 173.0389612317.

The spelling of 5181216 in words is "five million, one hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 1741 2976 3482 5223 6964 10446 13928 20892 27856 41784 53971 55712 83568 107942 161913 167136 215884 323826 431768 647652 863536 1295304 1727072 2590608 5181216