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4004000874 = 232269382601
BaseRepresentation
bin1110111010101000…
…0011010001101010
3101100001020022121200
43232222003101222
531200011011444
61501151345030
7201136305636
oct35652032152
911301208550
104004000874
111775177135
12938b22176
134ba6c27b3
1429dab5dc6
151867b5969
hexeea8346a

4004000874 has 24 divisors (see below), whose sum is σ = 8678661732. Its totient is φ = 1334155200.

The previous prime is 4004000863. The next prime is 4004000921. The reversal of 4004000874 is 4780004004.

4004000874 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 3900876849 + 103124025 = 62457^2 + 10155^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7174 + ... + 89774.

Almost surely, 24004000874 is an apocalyptic number.

4004000874 is an abundant number, since it is smaller than the sum of its proper divisors (4674660858).

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

4004000874 is a wasteful number, since it uses less digits than its factorization.

4004000874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85302 (or 85299 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4004000874 is about 63277.1749843496. The cubic root of 4004000874 is about 1587.9301249109.

Adding to 4004000874 its reverse (4780004004), we get a palindrome (8784004878).

The spelling of 4004000874 in words is "four billion, four million, eight hundred seventy-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 2693 5386 8079 16158 24237 48474 82601 165202 247803 495606 743409 1486818 222444493 444888986 667333479 1334666958 2002000437 4004000874