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4786048 = 27139269
BaseRepresentation
bin10010010000011110000000
3100000011020001
4102100132000
52211123143
6250325344
755452331
oct22203600
910004201
104786048
112779913
121729854
13cb75a7
148c8288
1564814d
hex490780

4786048 has 32 divisors (see below), whose sum is σ = 9639000. Its totient is φ = 2366976.

The previous prime is 4786037. The next prime is 4786049. The reversal of 4786048 is 8406874.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 4785998 and 4786016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4786049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17658 + ... + 17926.

Almost surely, 24786048 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 4786048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819500).

4786048 is an abundant number, since it is smaller than the sum of its proper divisors (4852952).

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

4786048 is a wasteful number, since it uses less digits than its factorization.

4786048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 4786048 is about 2187.7038190761. The cubic root of 4786048 is about 168.5229359428.

The spelling of 4786048 in words is "four million, seven hundred eighty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 139 269 278 538 556 1076 1112 2152 2224 4304 4448 8608 8896 17216 17792 34432 37391 74782 149564 299128 598256 1196512 2393024 4786048