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4004002040 = 235100100051
BaseRepresentation
bin1110111010101000…
…0011100011111000
3101100001020101012212
43232222003203320
531200011031130
61501151354252
7201136312223
oct35652034370
911301211185
104004002040
111775177aa5
12938b22988
134ba6c319c
1429dab65ba
151867b5e95
hexeea838f8

4004002040 has 16 divisors (see below), whose sum is σ = 9009004680. Its totient is φ = 1601600800.

The previous prime is 4004002021. The next prime is 4004002049. The reversal of 4004002040 is 402004004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004002049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50049986 + ... + 50050065.

Almost surely, 24004002040 is an apocalyptic number.

4004002040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004002040 is an abundant number, since it is smaller than the sum of its proper divisors (5005002640).

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

4004002040 is a wasteful number, since it uses less digits than its factorization.

4004002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100100062 (or 100100058 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4004002040 is about 63277.1841977817. The cubic root of 4004002040 is about 1587.9302790506.

Adding to 4004002040 its reverse (402004004), we get a palindrome (4406006044).

The spelling of 4004002040 in words is "four billion, four million, two thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 20 40 100100051 200200102 400400204 500500255 800800408 1001000510 2002001020 4004002040