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4804020 = 22325132053
BaseRepresentation
bin10010010100110110110100
3100001001212200
4102110312310
52212212040
6250544500
755555614
oct22246664
910031780
104804020
112791371
121738130
13cc2820
148d0a44
1564d630
hex494db4

4804020 has 72 divisors (see below), whose sum is σ = 15700776. Its totient is φ = 1181952.

The previous prime is 4803991. The next prime is 4804021. The reversal of 4804020 is 204084.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86436 + 4717584 = 294^2 + 2172^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4803984 and 4804002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4804021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1314 + ... + 3366.

Almost surely, 24804020 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 4804020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7850388).

4804020 is an abundant number, since it is smaller than the sum of its proper divisors (10896756).

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

4804020 is a wasteful number, since it uses less digits than its factorization.

4804020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4804020 is about 2191.8074732969. The cubic root of 4804020 is about 168.7336115772.

The spelling of 4804020 in words is "four million, eight hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2053 2340 4106 6159 8212 10265 12318 18477 20530 24636 26689 30795 36954 41060 53378 61590 73908 80067 92385 106756 123180 133445 160134 184770 240201 266890 320268 369540 400335 480402 533780 800670 960804 1201005 1601340 2402010 4804020