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4000800080 = 24550010001
BaseRepresentation
bin1110111001110111…
…0101110101010000
3101022211012200221202
43232131311311100
531143201100310
61500555010332
7201100145114
oct35635656520
911284180852
104000800080
111773390352
12937a399a8
134b9b41934
1429d4c1744
151863823a5
hexee775d50

4000800080 has 20 divisors (see below), whose sum is σ = 9301860372. Its totient is φ = 1600320000.

The previous prime is 4000800061. The next prime is 4000800091. The reversal of 4000800080 is 800080004.

It can be written as a sum of positive squares in 2 ways, for example, as 400320064 + 3600480016 = 20008^2 + 60004^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25004921 + ... + 25005080.

Almost surely, 24000800080 is an apocalyptic number.

4000800080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000800080 is an abundant number, since it is smaller than the sum of its proper divisors (5301060292).

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

4000800080 is a wasteful number, since it uses less digits than its factorization.

4000800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50010014 (or 50010008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4000800080 is about 63251.8780748841. The cubic root of 4000800080 is about 1587.5068822319.

Adding to 4000800080 its reverse (800080004), we get a palindrome (4800880084).

The spelling of 4000800080 in words is "four billion, eight hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 50010001 100020002 200040004 250050005 400080008 500100010 800160016 1000200020 2000400040 4000800080