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38716960 = 255241981
BaseRepresentation
bin1001001110110…
…0011000100000
32200212000200111
42103230120200
534402420320
63501501104
7650042302
oct223543040
980760614
1038716960
111a944697
1210b71794
138037859
1451db972
1535eba5a
hex24ec620

38716960 has 24 divisors (see below), whose sum is σ = 91469196. Its totient is φ = 15486720.

The previous prime is 38716933. The next prime is 38716961. The reversal of 38716960 is 6961783.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 2572816 = 6012^2 + 1604^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (38716961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120831 + ... + 121150.

Almost surely, 238716960 is an apocalyptic number.

It is an amenable number.

38716960 is an abundant number, since it is smaller than the sum of its proper divisors (52752236).

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

38716960 is a wasteful number, since it uses less digits than its factorization.

38716960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241996 (or 241988 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 38716960 is about 6222.2953963951. The cubic root of 38716960 is about 338.2987683121.

The spelling of 38716960 in words is "thirty-eight million, seven hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 241981 483962 967924 1209905 1935848 2419810 3871696 4839620 7743392 9679240 19358480 38716960