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38193840 = 2432553047
BaseRepresentation
bin1001000110110…
…0101010110000
32122212110002200
42101230222300
534234200330
63442343200
7642433206
oct221545260
978773080
1038193840
111a617663
121095ab00
137bb3709
145103076
153546a60
hex246cab0

38193840 has 60 divisors (see below), whose sum is σ = 128270064. Its totient is φ = 10184832.

The previous prime is 38193839. The next prime is 38193851. The reversal of 38193840 is 4839183.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 38193795 and 38193804.

It is an unprimeable number.

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, 25804 + ... + 27243.

Almost surely, 238193840 is an apocalyptic number.

38193840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38193840 is an abundant number, since it is smaller than the sum of its proper divisors (90076224).

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

38193840 is a wasteful number, since it uses less digits than its factorization.

38193840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53066 (or 53057 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38193840 is about 6180.1165037562. The cubic root of 38193840 is about 336.7682251964.

The spelling of 38193840 in words is "thirty-eight million, one hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 53047 106094 159141 212188 265235 318282 424376 477423 530470 636564 795705 848752 954846 1060940 1273128 1591410 1909692 2121880 2387115 2546256 3182820 3819384 4243760 4774230 6365640 7638768 9548460 12731280 19096920 38193840