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4720768 = 27132837
BaseRepresentation
bin10010000000100010000000
322212211200021
4102000202000
52202031033
6245103224
755061113
oct22004200
98784607
104720768
112734868
1216b7b14
13c93970
148ac57a
15633b2d
hex480880

4720768 has 32 divisors (see below), whose sum is σ = 10131660. Its totient is φ = 2178048.

The previous prime is 4720741. The next prime is 4720777. The reversal of 4720768 is 8670274.

It can be written as a sum of positive squares in 2 ways, for example, as 3655744 + 1065024 = 1912^2 + 1032^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 246 + ... + 3082.

Almost surely, 24720768 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 4720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065830).

4720768 is an abundant number, since it is smaller than the sum of its proper divisors (5410892).

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

4720768 is a wasteful number, since it uses less digits than its factorization.

4720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 4720768 is about 2172.7328413774. The cubic root of 4720768 is about 167.7532280239.

The spelling of 4720768 in words is "four million, seven hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2837 5674 11348 22696 36881 45392 73762 90784 147524 181568 295048 363136 590096 1180192 2360384 4720768