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638307228 = 22313172331033
BaseRepresentation
bin100110000010111…
…100101110011100
31122111002100220110
4212002330232130
52301401312403
6143201050020
721550344006
oct4602745634
91574070813
10638307228
112a8342739
12159926910
13a231bab0
1460ab9376
153b088103
hex260bcb9c

638307228 has 96 divisors (see below), whose sum is σ = 1707241536. Its totient is φ = 183877632.

The previous prime is 638307227. The next prime is 638307251. The reversal of 638307228 is 822703836.

It is a happy number.

638307228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6383072282 = 814872234634087968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638307227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617400 + ... + 618432.

It is an arithmetic number, because the mean of its divisors is an integer number (17783766).

Almost surely, 2638307228 is an apocalyptic number.

638307228 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638307228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853620768).

638307228 is an abundant number, since it is smaller than the sum of its proper divisors (1068934308).

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

638307228 is a wasteful number, since it uses less digits than its factorization.

638307228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 638307228 is about 25264.7427851542. The cubic root of 638307228 is about 861.0134204278.

The spelling of 638307228 in words is "six hundred thirty-eight million, three hundred seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 233 442 466 663 699 884 932 1033 1326 1398 2066 2652 2796 3029 3099 3961 4132 6058 6198 7922 9087 11883 12116 12396 13429 15844 17561 18174 23766 26858 35122 36348 40287 47532 51493 52683 53716 70244 80574 102986 105366 154479 161148 205972 210732 228293 240689 308958 456586 481378 617916 684879 722067 913172 962756 1369758 1444134 2739516 2888268 3128957 4091713 6257914 8183426 9386871 12275139 12515828 16366852 18773742 24550278 37547484 49100556 53192269 106384538 159576807 212769076 319153614 638307228