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638363748 = 2231119359709
BaseRepresentation
bin100110000011001…
…010100001100100
31122111012020102210
4212003022201210
52301410114443
6143202203420
721551000541
oct4603124144
91574166383
10638363748
112a8381150
12159953570
13a233b739
1460ad1bc8
153b099c33
hex260ca864

638363748 has 96 divisors (see below), whose sum is σ = 1717632000. Its totient is φ = 182494080.

The previous prime is 638363741. The next prime is 638363771. The reversal of 638363748 is 847363836.

It is a junction number, because it is equal to n+sod(n) for n = 638363697 and 638363706.

It is not an unprimeable number, because it can be changed into a prime (638363741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900018 + ... + 900726.

It is an arithmetic number, because the mean of its divisors is an integer number (17892000).

Almost surely, 2638363748 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 638363748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858816000).

638363748 is an abundant number, since it is smaller than the sum of its proper divisors (1079268252).

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

638363748 is a wasteful number, since it uses less digits than its factorization.

638363748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 638363748 is about 25265.8613152214. The cubic root of 638363748 is about 861.0388329773.

The spelling of 638363748 in words is "six hundred thirty-eight million, three hundred sixty-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 359 418 627 709 718 836 1077 1254 1418 1436 2127 2154 2508 2836 3949 4254 4308 6821 7799 7898 8508 11847 13471 13642 15598 15796 20463 23397 23694 26942 27284 31196 40413 40926 46794 47388 53884 75031 80826 81852 93588 148181 150062 161652 225093 254531 296362 300124 444543 450186 509062 592724 763593 889086 900372 1018124 1527186 1778172 2799841 3054372 4836089 5599682 8399523 9672178 11199364 14508267 16799046 19344356 29016534 33598092 53196979 58033068 106393958 159590937 212787916 319181874 638363748