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4000555481 = 131729624209
BaseRepresentation
bin1110111001110011…
…1010000111011001
3101022210202021102112
43232130322013121
531143120233411
61500545442105
7201065106026
oct35634720731
911283667375
104000555481
1117732335aa
12937940335
134b9a874c0
1429d45a54d
15186334b8b
hexee73a1d9

4000555481 has 16 divisors (see below), whose sum is σ = 4719027600. Its totient is φ = 3355742208.

The previous prime is 4000555463. The next prime is 4000555501. The reversal of 4000555481 is 1845550004.

It can be written as a sum of positive squares in 8 ways, for example, as 617969881 + 3382585600 = 24859^2 + 58160^2 .

It is not a de Polignac number, because 4000555481 - 210 = 4000554457 is a prime.

It is a super-2 number, since 2×40005554812 = 32008888313118282722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000555441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305696 + ... + 318513.

It is an arithmetic number, because the mean of its divisors is an integer number (294939225).

Almost surely, 24000555481 is an apocalyptic number.

It is an amenable number.

4000555481 is a deficient number, since it is larger than the sum of its proper divisors (718472119).

4000555481 is a wasteful number, since it uses less digits than its factorization.

4000555481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624268.

The product of its (nonzero) digits is 16000, while the sum is 32.

The square root of 4000555481 is about 63249.9445138097. The cubic root of 4000555481 is about 1587.4745294940.

The spelling of 4000555481 in words is "four billion, five hundred fifty-five thousand, four hundred eighty-one".

Divisors: 1 13 17 29 221 377 493 6409 624209 8114717 10611553 18102061 137950189 235326793 307735037 4000555481