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4800080800 = 25526000101
BaseRepresentation
bin1000111100001101…
…10110101110100000
3110101112012100222101
410132012312232200
534312310041200
62112150220144
7226644004444
oct43606665640
913345170871
104800080800
11204357a829
12b1b654654
135b66022c8
14337700824
151d161626a
hex11e1b6ba0

4800080800 has 36 divisors (see below), whose sum is σ = 11718199206. Its totient is φ = 1920032000.

The previous prime is 4800080773. The next prime is 4800080801. The reversal of 4800080800 is 80800084.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4674730384 + 125350416 = 68372^2 + 11196^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (4800080801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2999251 + ... + 3000850.

Almost surely, 24800080800 is an apocalyptic number.

4800080800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4800080800 is an abundant number, since it is smaller than the sum of its proper divisors (6918118406).

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

4800080800 is a wasteful number, since it uses less digits than its factorization.

4800080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000121 (or 6000108 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 4800080800 is about 69282.6154240730. The cubic root of 4800080800 is about 1686.8747957392.

Adding to 4800080800 its reverse (80800084), we get a palindrome (4880880884).

The spelling of 4800080800 in words is "four billion, eight hundred million, eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6000101 12000202 24000404 30000505 48000808 60001010 96001616 120002020 150002525 192003232 240004040 300005050 480008080 600010100 960016160 1200020200 2400040400 4800080800