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4824768 = 263131933
BaseRepresentation
bin10010011001111011000000
3100002010100010
4102121323000
52213343033
6251224520
756003244
oct22317300
910063303
104824768
1127a5a13
121748140
13ccc0c0
148d8424
15654863
hex499ec0

4824768 has 56 divisors (see below), whose sum is σ = 13754608. Its totient is φ = 1483776.

The previous prime is 4824751. The next prime is 4824773. The reversal of 4824768 is 8674284.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1530 + ... + 3462.

It is an arithmetic number, because the mean of its divisors is an integer number (245618).

Almost surely, 24824768 is an apocalyptic number.

4824768 is a gapful number since it is divisible by the number (48) 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 4824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877304).

4824768 is an abundant number, since it is smaller than the sum of its proper divisors (8929840).

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

4824768 is a wasteful number, since it uses less digits than its factorization.

4824768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1951 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 4824768 is about 2196.5354538454. The cubic root of 4824768 is about 168.9761762807.

The spelling of 4824768 in words is "four million, eight hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1933 2496 3866 5799 7732 11598 15464 23196 25129 30928 46392 50258 61856 75387 92784 100516 123712 150774 185568 201032 301548 371136 402064 603096 804128 1206192 1608256 2412384 4824768