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4004424440 = 235472130013
BaseRepresentation
bin1110111010101110…
…1010101011111000
3101100002000211122022
43232223222223320
531200113040230
61501204414012
7201143021552
oct35653525370
911302024568
104004424440
111775436395
129390a7308
134ba810523
1429db864d2
1518684b1e5
hexeeaeaaf8

4004424440 has 32 divisors (see below), whose sum is σ = 9201660480. Its totient is φ = 1567688832.

The previous prime is 4004424433. The next prime is 4004424469. The reversal of 4004424440 is 444244004.

It is a happy number.

It is a congruent number.

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, 1063127 + ... + 1066886.

It is an arithmetic number, because the mean of its divisors is an integer number (287551890).

Almost surely, 24004424440 is an apocalyptic number.

4004424440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004424440 is an abundant number, since it is smaller than the sum of its proper divisors (5197236040).

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

4004424440 is a wasteful number, since it uses less digits than its factorization.

4004424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130071 (or 2130067 counting only the distinct ones).

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

The square root of 4004424440 is about 63280.5218056868. The cubic root of 4004424440 is about 1587.9861163652.

Adding to 4004424440 its reverse (444244004), we get a palindrome (4448668444).

The spelling of 4004424440 in words is "four billion, four million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 2130013 4260026 8520052 10650065 17040104 21300130 42600260 85200520 100110611 200221222 400442444 500553055 800884888 1001106110 2002212220 4004424440