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38708640 = 2532526881
BaseRepresentation
bin1001001110101…
…0010110100000
32200211121021100
42103222112200
534402134030
63501354400
7650006115
oct223522640
980747240
1038708640
111a939413
1210b68a00
138033b29
1451d890c
1535e9360
hex24ea5a0

38708640 has 72 divisors (see below), whose sum is σ = 132098148. Its totient is φ = 10321920.

The previous prime is 38708639. The next prime is 38708651. The reversal of 38708640 is 4680783.

38708640 is a `hidden beast` number, since 3 + 8 + 7 + 0 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38489616 + 219024 = 6204^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 38708595 and 38708604.

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, 12001 + ... + 14880.

Almost surely, 238708640 is an apocalyptic number.

38708640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38708640 is an abundant number, since it is smaller than the sum of its proper divisors (93389508).

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

38708640 is a wasteful number, since it uses less digits than its factorization.

38708640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26902 (or 26891 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38708640 is about 6221.6267969077. The cubic root of 38708640 is about 338.2745339078.

The spelling of 38708640 in words is "thirty-eight million, seven hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 26881 53762 80643 107524 134405 161286 215048 241929 268810 322572 403215 430096 483858 537620 645144 806430 860192 967716 1075240 1209645 1290288 1612860 1935432 2150480 2419290 2580576 3225720 3870864 4300960 4838580 6451440 7741728 9677160 12902880 19354320 38708640