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38381568 = 21136247
BaseRepresentation
bin1001001001101…
…0100000000000
32200012222121120
42102122200000
534311202233
63450352240
7644144421
oct222324000
980188546
1038381568
111a735705
1210a2b680
137c4acb4
145151648
1535824b3
hex249a800

38381568 has 48 divisors (see below), whose sum is σ = 102342240. Its totient is φ = 12791808.

The previous prime is 38381537. The next prime is 38381573. The reversal of 38381568 is 86518383.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3021 + ... + 9267.

It is an arithmetic number, because the mean of its divisors is an integer number (2132130).

Almost surely, 238381568 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 38381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51171120).

38381568 is an abundant number, since it is smaller than the sum of its proper divisors (63960672).

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

38381568 is an equidigital number, since it uses as much as digits as its factorization.

38381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6252 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 38381568 is about 6195.2859498170. The cubic root of 38381568 is about 337.3190777911.

The spelling of 38381568 in words is "thirty-eight million, three hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 6247 12494 18741 24988 37482 49976 74964 99952 149928 199904 299856 399808 599712 799616 1199424 1599232 2398848 3198464 4797696 6396928 9595392 12793856 19190784 38381568