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4780244 = 2272293
BaseRepresentation
bin10010001111000011010100
322222212021002
4102033003110
52210431434
6250242432
755426400
oct22170324
98885232
104780244
112775517
121726418
13cb4a61
148c6100
1564657e
hex48f0d4

4780244 has 36 divisors (see below), whose sum is σ = 10078740. Its totient is φ = 1978032.

The previous prime is 4780241. The next prime is 4780261. The reversal of 4780244 is 4420874.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 828100 + 3952144 = 910^2 + 1988^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4780241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164822 + ... + 164850.

It is an arithmetic number, because the mean of its divisors is an integer number (279965).

Almost surely, 24780244 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 4780244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039370).

4780244 is an abundant number, since it is smaller than the sum of its proper divisors (5298496).

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

4780244 is an equidigital number, since it uses as much as digits as its factorization.

4780244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 4780244 is about 2186.3769116966. The cubic root of 4780244 is about 168.4547862733.

Multiplying 4780244 by its sum of digits (29), we get a square (138627076 = 117742).

4780244 divided by its sum of digits (29) gives a square (164836 = 4062).

Multiplying 4780244 by its product of nonzero digits (7168), we get a cube (34264788992 = 32483).

The spelling of 4780244 in words is "four million, seven hundred eighty thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 841 1421 1682 2842 3364 5684 5887 11774 23548 24389 41209 48778 82418 97556 164836 170723 341446 682892 1195061 2390122 4780244