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38380392 = 23366581
BaseRepresentation
bin1001001001101…
…0001101101000
32200012221000000
42102122031220
534311133032
63450343000
7644141121
oct222321550
980187000
1038380392
111a734836
1210a2aa60
137c4a5bb
145151048
153581e7c
hex249a368

38380392 has 56 divisors (see below), whose sum is σ = 107911890. Its totient is φ = 12791520.

The previous prime is 38380367. The next prime is 38380393. The reversal of 38380392 is 29308383.

It can be written as a sum of positive squares in only one way, i.e., 35928036 + 2452356 = 5994^2 + 1566^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38380393) 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 13 ways as a sum of consecutive naturals, for example, 2542 + ... + 9122.

Almost surely, 238380392 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 38380392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53955945).

38380392 is an abundant number, since it is smaller than the sum of its proper divisors (69531498).

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

38380392 is an equidigital number, since it uses as much as digits as its factorization.

38380392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 38380392 is about 6195.1910382167. The cubic root of 38380392 is about 337.3156326366.

The spelling of 38380392 in words is "thirty-eight million, three hundred eighty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 6581 13162 19743 26324 39486 52648 59229 78972 118458 157944 177687 236916 355374 473832 533061 710748 1066122 1421496 1599183 2132244 3198366 4264488 4797549 6396732 9595098 12793464 19190196 38380392