Search a number
-
+
4821248 = 2837509
BaseRepresentation
bin10010011001000100000000
3100001221111202
4102121010000
52213234443
6251200332
755660055
oct22310400
910057452
104821248
1127a3303
1217460a8
13cca613
148d702c
156537b8
hex499100

4821248 has 36 divisors (see below), whose sum is σ = 9903180. Its totient is φ = 2340864.

The previous prime is 4821247. The next prime is 4821263. The reversal of 4821248 is 8421284.

It can be written as a sum of positive squares in 2 ways, for example, as 4129024 + 692224 = 2032^2 + 832^2 .

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 4821248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4821241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9218 + ... + 9726.

Almost surely, 24821248 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 4821248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951590).

4821248 is an abundant number, since it is smaller than the sum of its proper divisors (5081932).

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

4821248 is an equidigital number, since it uses as much as digits as its factorization.

4821248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 548 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

The square root of 4821248 is about 2195.7340458261. The cubic root of 4821248 is about 168.9350730368.

The spelling of 4821248 in words is "four million, eight hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 509 592 1018 1184 2036 2368 4072 4736 8144 9472 16288 18833 32576 37666 65152 75332 130304 150664 301328 602656 1205312 2410624 4821248