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38663028 = 22332711321
BaseRepresentation
bin1001001101111…
…1001101110100
32200202021201000
42103133031310
534344204103
63500403300
7646426125
oct223371564
980667630
1038663028
111a908118
1210b46530
138019141
1451c604c
1535daaa3
hex24df374

38663028 has 48 divisors (see below), whose sum is σ = 100683520. Its totient is φ = 12830400.

The previous prime is 38663021. The next prime is 38663029. The reversal of 38663028 is 82036683.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38662983 and 38663001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38663021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28608 + ... + 29928.

Almost surely, 238663028 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 38663028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50341760).

38663028 is an abundant number, since it is smaller than the sum of its proper divisors (62020492).

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

38663028 is a wasteful number, since it uses less digits than its factorization.

38663028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38663028 is about 6217.9601156649. The cubic root of 38663028 is about 338.1416140362.

The spelling of 38663028 in words is "thirty-eight million, six hundred sixty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 271 542 813 1084 1321 1626 2439 2642 3252 3963 4878 5284 7317 7926 9756 11889 14634 15852 23778 29268 35667 47556 71334 142668 357991 715982 1073973 1431964 2147946 3221919 4295892 6443838 9665757 12887676 19331514 38663028