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4004444040 = 233533370367
BaseRepresentation
bin1110111010101110…
…1111011110001000
3101100002001211112020
43232223233132020
531200114202130
61501205044440
7201143132652
oct35653573610
911302054466
104004444040
11177544a093
129390b6720
134ba81941c
1429db8d6d2
15186851e10
hexeeaef788

4004444040 has 32 divisors (see below), whose sum is σ = 12013332480. Its totient is φ = 1067851712.

The previous prime is 4004443973. The next prime is 4004444051. The reversal of 4004444040 is 404444004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4004444040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16685064 + ... + 16685303.

It is an arithmetic number, because the mean of its divisors is an integer number (375416640).

Almost surely, 24004444040 is an apocalyptic number.

4004444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004444040 is an abundant number, since it is smaller than the sum of its proper divisors (8008888440).

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

4004444040 is a wasteful number, since it uses less digits than its factorization.

4004444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33370381 (or 33370377 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4004444040 is about 63280.6766714769. The cubic root of 4004444040 is about 1587.9887072059.

Adding to 4004444040 its reverse (404444004), we get a palindrome (4408888044).

The spelling of 4004444040 in words is "four billion, four million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 33370367 66740734 100111101 133481468 166851835 200222202 266962936 333703670 400444404 500555505 667407340 800888808 1001111010 1334814680 2002222020 4004444040