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4820000 = 2554241
BaseRepresentation
bin10010011000110000100000
3100001212210112
4102120300200
52213220000
6251150452
755653323
oct22306040
910055715
104820000
1127a2379
121745428
13cc9b93
148d67ba
15653235
hex498c20

4820000 has 60 divisors (see below), whose sum is σ = 11907126. Its totient is φ = 1920000.

The previous prime is 4819987. The next prime is 4820009. The reversal of 4820000 is 284.

It can be written as a sum of positive squares in 5 ways, for example, as 274576 + 4545424 = 524^2 + 2132^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4820009) 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 9 ways as a sum of consecutive naturals, for example, 19880 + ... + 20120.

Almost surely, 24820000 is an apocalyptic number.

4820000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953563).

4820000 is an abundant number, since it is smaller than the sum of its proper divisors (7087126).

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

4820000 is an equidigital number, since it uses as much as digits as its factorization.

4820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4820000 is about 2195.4498400100. The cubic root of 4820000 is about 168.9204952646.

Adding to 4820000 its reverse (284), we get a palindrome (4820284).

The spelling of 4820000 in words is "four million, eight hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 241 250 400 482 500 625 800 964 1000 1205 1250 1928 2000 2410 2500 3856 4000 4820 5000 6025 7712 9640 10000 12050 19280 20000 24100 30125 38560 48200 60250 96400 120500 150625 192800 241000 301250 482000 602500 964000 1205000 2410000 4820000