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638587144 = 231337263631
BaseRepresentation
bin100110000100000…
…001000100001000
31122111121120212201
4212010001010020
52301434242034
6143211045544
721552621046
oct4604010410
91574546781
10638587144
112a8513a78
12159a408b4
13a23b9320
1460b4d396
153b0e1014
hex26101108

638587144 has 64 divisors (see below), whose sum is σ = 1331447040. Its totient is φ = 285223680.

The previous prime is 638587139. The next prime is 638587153. The reversal of 638587144 is 441785836.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 638587094 and 638587103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011709 + ... + 1012339.

It is an arithmetic number, because the mean of its divisors is an integer number (20803860).

Almost surely, 2638587144 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 638587144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665723520).

638587144 is an abundant number, since it is smaller than the sum of its proper divisors (692859896).

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

638587144 is a wasteful number, since it uses less digits than its factorization.

638587144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 946 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 638587144 is about 25270.2818345977. The cubic root of 638587144 is about 861.1392617157.

The spelling of 638587144 in words is "six hundred thirty-eight million, five hundred eighty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 263 296 481 526 631 962 1052 1262 1924 2104 2524 3419 3848 5048 6838 8203 9731 13676 16406 19462 23347 27352 32812 38924 46694 65624 77848 93388 126503 165953 186776 253006 303511 331906 506012 607022 663812 1012024 1214044 1327624 2157389 2428088 4314778 6140261 8629556 12280522 17259112 24561044 49122088 79823393 159646786 319293572 638587144