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38708432 = 247297509
BaseRepresentation
bin1001001110101…
…0010011010000
32200211120222122
42103222103100
534402132212
63501353412
7650005400
oct223522320
980746878
1038708432
111a939244
1210b68868
1380339c9
1451d8800
1535e9272
hex24ea4d0

38708432 has 60 divisors (see below), whose sum is σ = 88314660. Its totient is φ = 16386048.

The previous prime is 38708413. The next prime is 38708437. The reversal of 38708432 is 23480783.

It can be written as a sum of positive squares in 2 ways, for example, as 24840256 + 13868176 = 4984^2 + 3724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38708392 and 38708401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38708437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75794 + ... + 76302.

It is an arithmetic number, because the mean of its divisors is an integer number (1471911).

Almost surely, 238708432 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 38708432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44157330).

38708432 is an abundant number, since it is smaller than the sum of its proper divisors (49606228).

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

38708432 is a wasteful number, since it uses less digits than its factorization.

38708432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 38708432 is about 6221.6100809999. The cubic root of 38708432 is about 338.2739280032.

The spelling of 38708432 in words is "thirty-eight million, seven hundred eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 97 98 112 194 196 388 392 509 679 776 784 1018 1358 1552 2036 2716 3563 4072 4753 5432 7126 8144 9506 10864 14252 19012 24941 28504 38024 49373 49882 57008 76048 98746 99764 197492 199528 345611 394984 399056 691222 789968 1382444 2419277 2764888 4838554 5529776 9677108 19354216 38708432