Search a number
-
+
4825216 = 271123149
BaseRepresentation
bin10010011010000010000000
3100002010221201
4102122002000
52213401331
6251230544
756004454
oct22320200
910063851
104825216
1127a6290
121748454
13ccc376
148d8664
15654a61
hex49a080

4825216 has 64 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 2083840.

The previous prime is 4825211. The next prime is 4825217. The reversal of 4825216 is 6125284.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4825211) 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, 32310 + ... + 32458.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 24825216 is an apocalyptic number.

4825216 is a gapful number since it is divisible by the number (46) 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 4825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

4825216 is an abundant number, since it is smaller than the sum of its proper divisors (6190784).

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

4825216 is a wasteful number, since it uses less digits than its factorization.

4825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 4825216 is about 2196.6374302556. The cubic root of 4825216 is about 168.9814061683.

It can be divided in two parts, 4825 and 216, that added together give a square (5041 = 712).

The spelling of 4825216 in words is "four million, eight hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 149 176 184 253 298 352 368 506 596 704 736 1012 1192 1408 1472 1639 2024 2384 2944 3278 3427 4048 4768 6556 6854 8096 9536 13112 13708 16192 19072 26224 27416 32384 37697 52448 54832 75394 104896 109664 150788 209792 219328 301576 438656 603152 1206304 2412608 4825216