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4241000000 = 26564241
BaseRepresentation
bin1111110011001000…
…1000011001000000
3101221120012010022002
43330302020121000
532141144000000
61540455203132
7210044622326
oct37462103100
911846163262
104241000000
111886a30086
129a43764a8
13527832773
142c3369d16
1519c4cc8d5
hexfcc88640

4241000000 has 98 divisors (see below), whose sum is σ = 10522013754. Its totient is φ = 1696000000.

The previous prime is 4240999967. The next prime is 4241000009. The reversal of 4241000000 is 1424.

It can be written as a sum of positive squares in 7 ways, for example, as 3874813504 + 366186496 = 62248^2 + 19136^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (4241000009) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 997880 + ... + 1002120.

Almost surely, 24241000000 is an apocalyptic number.

4241000000 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 4241000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261006877).

4241000000 is an abundant number, since it is smaller than the sum of its proper divisors (6281013754).

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

4241000000 is an frugal number, since it uses more digits than its factorization.

4241000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4241000000 is about 65122.9606206597. The cubic root of 4241000000 is about 1618.6617001869.

Adding to 4241000000 its reverse (1424), we get a palindrome (4241001424).

The spelling of 4241000000 in words is "four billion, two hundred forty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 4241 5000 6250 8000 8482 10000 12500 15625 16964 20000 21205 25000 31250 33928 40000 42410 50000 62500 67856 84820 100000 106025 125000 135712 169640 200000 212050 250000 271424 339280 424100 500000 530125 678560 848200 1000000 1060250 1357120 1696400 2120500 2650625 3392800 4241000 5301250 6785600 8482000 10602500 13253125 16964000 21205000 26506250 33928000 42410000 53012500 66265625 84820000 106025000 132531250 169640000 212050000 265062500 424100000 530125000 848200000 1060250000 2120500000 4241000000