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4768256 = 2967139
BaseRepresentation
bin10010001100001000000000
322222020211002
4102030020000
52210041011
6250111132
755346423
oct22141000
98866732
104768256
112767509
12171b4a8
13cac46c
148c19ba
15642c3b
hex48c200

4768256 has 40 divisors (see below), whose sum is σ = 9738960. Its totient is φ = 2331648.

The previous prime is 4768243. The next prime is 4768271. The reversal of 4768256 is 6528674.

It is a happy number.

Its product of digits (80640) is a multiple of the sum of its prime factors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34235 + ... + 34373.

It is an arithmetic number, because the mean of its divisors is an integer number (243474).

Almost surely, 24768256 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 4768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869480).

4768256 is an abundant number, since it is smaller than the sum of its proper divisors (4970704).

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

4768256 is an equidigital number, since it uses as much as digits as its factorization.

4768256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 4768256 is about 2183.6336689106. The cubic root of 4768256 is about 168.3138501996.

The spelling of 4768256 in words is "four million, seven hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 139 256 268 278 512 536 556 1072 1112 2144 2224 4288 4448 8576 8896 9313 17152 17792 18626 34304 35584 37252 71168 74504 149008 298016 596032 1192064 2384128 4768256