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38838228 = 223111321741
BaseRepresentation
bin1001010000100…
…1111111010100
32201002012000220
42110021333110
534420310403
63504234340
7651055662
oct224117724
981065026
1038838228
111aa17810
121100b9b0
13807ab00
14522dc32
153622953
hex2509fd4

38838228 has 72 divisors (see below), whose sum is σ = 107112096. Its totient is φ = 10857600.

The previous prime is 38838211. The next prime is 38838259. The reversal of 38838228 is 82283883.

38838228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38838228.

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 23 ways as a sum of consecutive naturals, for example, 21438 + ... + 23178.

It is an arithmetic number, because the mean of its divisors is an integer number (1487668).

Almost surely, 238838228 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 38838228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53556048).

38838228 is an abundant number, since it is smaller than the sum of its proper divisors (68273868).

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

38838228 is a wasteful number, since it uses less digits than its factorization.

38838228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1770 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 38838228 is about 6232.0324132662. The cubic root of 38838228 is about 338.6516029804.

The spelling of 38838228 in words is "thirty-eight million, eight hundred thirty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 572 676 858 1014 1716 1741 1859 2028 3482 3718 5223 5577 6964 7436 10446 11154 19151 20892 22308 22633 38302 45266 57453 67899 76604 90532 114906 135798 229812 248963 271596 294229 497926 588458 746889 882687 995852 1176916 1493778 1765374 2987556 3236519 3530748 6473038 9709557 12946076 19419114 38838228