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38380544 = 210371013
BaseRepresentation
bin1001001001101…
…0010000000000
32200012221012122
42102122100000
534311134134
63450343412
7644141426
oct222322000
980187178
1038380544
111a734964
1210a2ab68
137c4a6a7
145151116
15358202e
hex249a400

38380544 has 44 divisors (see below), whose sum is σ = 78875004. Its totient is φ = 18653184.

The previous prime is 38380501. The next prime is 38380549. The reversal of 38380544 is 44508383.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13778944 + 24601600 = 3712^2 + 4960^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38380549) 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, 37382 + ... + 38394.

Almost surely, 238380544 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 38380544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39437502).

38380544 is an abundant number, since it is smaller than the sum of its proper divisors (40494460).

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

38380544 is a wasteful number, since it uses less digits than its factorization.

38380544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 38380544 is about 6195.2033057842. The cubic root of 38380544 is about 337.3160779327.

The spelling of 38380544 in words is "thirty-eight million, three hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1013 1024 1184 2026 2368 4052 4736 8104 9472 16208 18944 32416 37481 37888 64832 74962 129664 149924 259328 299848 518656 599696 1037312 1199392 2398784 4797568 9595136 19190272 38380544