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4003404040 = 235100085101
BaseRepresentation
bin1110111010011111…
…0001100100001000
3101100000002222220201
43232213301210020
531144332412130
61501130501544
7201131241616
oct35647614410
911300088821
104003404040
1117748a9789
129388948b4
134ba543c3c
1429d99c6b6
151866e8bca
hexee9f1908

4003404040 has 16 divisors (see below), whose sum is σ = 9007659180. Its totient is φ = 1601361600.

The previous prime is 4003404011. The next prime is 4003404047. The reversal of 4003404040 is 404043004.

4003404040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3818498436 + 184905604 = 61794^2 + 13598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4003403999 and 4003404017.

It is not an unprimeable number, because it can be changed into a prime (4003404047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50042511 + ... + 50042590.

Almost surely, 24003404040 is an apocalyptic number.

4003404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4003404040 is an abundant number, since it is smaller than the sum of its proper divisors (5004255140).

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

4003404040 is a wasteful number, since it uses less digits than its factorization.

4003404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100085112 (or 100085108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4003404040 is about 63272.4587794721. The cubic root of 4003404040 is about 1587.8512223489.

Adding to 4003404040 its reverse (404043004), we get a palindrome (4407447044).

The spelling of 4003404040 in words is "four billion, three million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 100085101 200170202 400340404 500425505 800680808 1000851010 2001702020 4003404040