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638546004 = 223415712553
BaseRepresentation
bin100110000011110…
…111000001010100
31122111112111110000
4212003313001110
52301431433004
6143210131300
721552360105
oct4603670124
91574474400
10638546004
112a8496078
12159a20b30
13a23a3695
1460b3c3ac
153b0d3c39
hex260f7054

638546004 has 60 divisors (see below), whose sum is σ = 1680051604. Its totient is φ = 211476096.

The previous prime is 638545997. The next prime is 638546059. The reversal of 638546004 is 400645836.

It can be written as a sum of positive squares in 2 ways, for example, as 477509904 + 161036100 = 21852^2 + 12690^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 638546004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44592 + ... + 57144.

Almost surely, 2638546004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638546004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840025802).

638546004 is an abundant number, since it is smaller than the sum of its proper divisors (1041505600).

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

638546004 is a wasteful number, since it uses less digits than its factorization.

638546004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12726 (or 12715 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 638546004 is about 25269.4678218596. The cubic root of 638546004 is about 861.1207687920.

The spelling of 638546004 in words is "six hundred thirty-eight million, five hundred forty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 942 1413 1884 2826 4239 5652 8478 12553 12717 16956 25106 25434 37659 50212 50868 75318 112977 150636 225954 338931 451908 677862 1016793 1355724 1970821 2033586 3941642 4067172 5912463 7883284 11824926 17737389 23649852 35474778 53212167 70949556 106424334 159636501 212848668 319273002 638546004