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38375936 = 29174409
BaseRepresentation
bin1001001001100…
…1001000000000
32200012200212222
42102121020000
534311012221
63450310212
7644122124
oct222311000
980180788
1038375936
111a731455
1210a28368
137c48571
14514d584
1535809ab
hex2499200

38375936 has 40 divisors (see below), whose sum is σ = 81205740. Its totient is φ = 18055168.

The previous prime is 38375933. The next prime is 38375951. The reversal of 38375936 is 63957383.

It can be written as a sum of positive squares in 2 ways, for example, as 37945600 + 430336 = 6160^2 + 656^2 .

It is not an unprimeable number, because it can be changed into a prime (38375933) by changing a digit.

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, 6500 + ... + 10908.

Almost surely, 238375936 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 38375936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40602870).

38375936 is an abundant number, since it is smaller than the sum of its proper divisors (42829804).

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

38375936 is an equidigital number, since it uses as much as digits as its factorization.

38375936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4428 counting only the distinct ones).

The product of its digits is 408240, while the sum is 44.

The square root of 38375936 is about 6194.8313939929. The cubic root of 38375936 is about 337.3025779095.

The spelling of 38375936 in words is "thirty-eight million, three hundred seventy-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 4409 8704 8818 17636 35272 70544 74953 141088 149906 282176 299812 564352 599624 1128704 1199248 2257408 2398496 4796992 9593984 19187968 38375936