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4963248 = 243311489
BaseRepresentation
bin10010111011101110110000
3100100011022000
4102323232300
52232310443
6254214000
760121053
oct22735660
910304260
104963248
11288aa64
1217b4300
13104a144
14932a9a
156808d3
hex4bbbb0

4963248 has 40 divisors (see below), whose sum is σ = 14247600. Its totient is φ = 1654272.

The previous prime is 4963243. The next prime is 4963253. The reversal of 4963248 is 8423694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4963243) and next prime (4963253).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 42 + 97 + 62 + 311 + 211 + 45 + 8 .

It is not an unprimeable number, because it can be changed into a prime (4963243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5313 + ... + 6176.

It is an arithmetic number, because the mean of its divisors is an integer number (356190).

Almost surely, 24963248 is an apocalyptic number.

4963248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4963248 is an abundant number, since it is smaller than the sum of its proper divisors (9284352).

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

4963248 is a wasteful number, since it uses less digits than its factorization.

4963248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11506 (or 11494 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4963248 is about 2227.8348233206. The cubic root of 4963248 is about 170.5775970237.

The spelling of 4963248 in words is "four million, nine hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11489 22978 34467 45956 68934 91912 103401 137868 183824 206802 275736 310203 413604 551472 620406 827208 1240812 1654416 2481624 4963248