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38639220 = 223541113139
BaseRepresentation
bin1001001101100…
…1011001110100
32200201002001020
42103121121310
534342423340
63500101140
7646266534
oct223313164
980632036
1038639220
111a8a1244
1210b347b0
13800b359
1451bb4c4
1535d39d0
hex24d9674

38639220 has 96 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 9891840.

The previous prime is 38639219. The next prime is 38639231. The reversal of 38639220 is 2293683.

38639220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 277911 + ... + 278049.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 238639220 is an apocalyptic number.

38639220 is a gapful number since it is divisible by the number (30) 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 38639220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306880).

38639220 is an abundant number, since it is smaller than the sum of its proper divisors (73974540).

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

38639220 is a wasteful number, since it uses less digits than its factorization.

38639220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 38639220 is about 6216.0453666298. The cubic root of 38639220 is about 338.0721926021.

The spelling of 38639220 in words is "thirty-eight million, six hundred thirty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 113 123 139 164 205 226 246 278 339 410 417 452 492 556 565 615 678 695 820 834 1130 1230 1356 1390 1668 1695 2085 2260 2460 2780 3390 4170 4633 5699 6780 8340 9266 11398 13899 15707 17097 18532 22796 23165 27798 28495 31414 34194 46330 47121 55596 56990 62828 68388 69495 78535 85485 92660 94242 113980 138990 157070 170970 188484 235605 277980 314140 341940 471210 643987 942420 1287974 1931961 2575948 3219935 3863922 6439870 7727844 9659805 12879740 19319610 38639220