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502420000 = 255425121
BaseRepresentation
bin11101111100100…
…101001000100000
31022000101120200011
4131330211020200
52012104420000
6121504334304
715310333225
oct3574451040
91260346604
10502420000
1123866a645
12120314394
1380121754
144aa2594c
152e1952ba
hex1df25220

502420000 has 60 divisors (see below), whose sum is σ = 1236077766. Its totient is φ = 200960000.

The previous prime is 502419991. The next prime is 502420031. The reversal of 502420000 is 24205.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 3701776 + 498718224 = 1924^2 + 22332^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7440 + ... + 32560.

Almost surely, 2502420000 is an apocalyptic number.

502420000 is a gapful number since it is divisible by the number (50) 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 502420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618038883).

502420000 is an abundant number, since it is smaller than the sum of its proper divisors (733657766).

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

502420000 is an equidigital number, since it uses as much as digits as its factorization.

502420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25151 (or 25128 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 502420000 is about 22414.7273014864. The cubic root of 502420000 is about 794.9789691574.

Adding to 502420000 its reverse (24205), we get a palindrome (502444205).

It can be divided in two parts, 50 and 2420000, that multiplied together give a square (121000000 = 110002).

The spelling of 502420000 in words is "five hundred two million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 25121 50242 100484 125605 200968 251210 401936 502420 628025 803872 1004840 1256050 2009680 2512100 3140125 4019360 5024200 6280250 10048400 12560500 15700625 20096800 25121000 31401250 50242000 62802500 100484000 125605000 251210000 502420000