Search a number
-
+
5037216 = 253137383
BaseRepresentation
bin10011001101110010100000
3100110220202120
4103031302200
52242142331
6255544240
760546522
oct23156240
910426676
105037216
112930598
12182b080
131074a02
14951a12
15697796
hex4cdca0

5037216 has 48 divisors (see below), whose sum is σ = 13353984. Its totient is φ = 1662464.

The previous prime is 5037211. The next prime is 5037229. The reversal of 5037216 is 6127305.

5037216 is nontrivially palindromic in base 15.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5037211) 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, 12961 + ... + 13343.

It is an arithmetic number, because the mean of its divisors is an integer number (278208).

Almost surely, 25037216 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 5037216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676992).

5037216 is an abundant number, since it is smaller than the sum of its proper divisors (8316768).

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

5037216 is a wasteful number, since it uses less digits than its factorization.

5037216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 5037216 is about 2244.3743003341. The cubic root of 5037216 is about 171.4208028226.

It can be divided in two parts, 5037 and 216, that added together give a triangular number (5253 = T102).

The spelling of 5037216 in words is "five million, thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 383 411 548 766 822 1096 1149 1532 1644 2192 2298 3064 3288 4384 4596 6128 6576 9192 12256 13152 18384 36768 52471 104942 157413 209884 314826 419768 629652 839536 1259304 1679072 2518608 5037216