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4004442440 = 235100111061
BaseRepresentation
bin1110111010101110…
…1111000101001000
3101100002001202022222
43232223233011020
531200114124230
61501205033212
7201143125205
oct35653570510
911302052288
104004442440
111775448969
129390b5808
134ba81878b
1429db8ccac
151868516e5
hexeeaef148

4004442440 has 16 divisors (see below), whose sum is σ = 9009995580. Its totient is φ = 1601776960.

The previous prime is 4004442437. The next prime is 4004442457. The reversal of 4004442440 is 442444004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3684247204 + 320195236 = 60698^2 + 17894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50055491 + ... + 50055570.

Almost surely, 24004442440 is an apocalyptic number.

4004442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004442440 is an abundant number, since it is smaller than the sum of its proper divisors (5005553140).

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

4004442440 is a wasteful number, since it uses less digits than its factorization.

4004442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111072 (or 100111068 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 4004442440 is about 63280.6640293858. The cubic root of 4004442440 is about 1587.9884957090.

Adding to 4004442440 its reverse (442444004), we get a palindrome (4446886444).

The spelling of 4004442440 in words is "four billion, four million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 100111061 200222122 400444244 500555305 800888488 1001110610 2002221220 4004442440