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38744105 = 5171014513
BaseRepresentation
bin1001001111001…
…1000000101001
32200220101220212
42103303000221
534404302410
63502230505
7650214401
oct223630051
980811825
1038744105
111a963024
1210b85435
13804700a
145207801
153604b05
hex24f3029

38744105 has 16 divisors (see below), whose sum is σ = 49726224. Its totient is φ = 28876800.

The previous prime is 38744053. The next prime is 38744107. The reversal of 38744105 is 50144783.

It can be written as a sum of positive squares in 8 ways, for example, as 5929 + 38738176 = 77^2 + 6224^2 .

It is not a de Polignac number, because 38744105 - 28 = 38743849 is a prime.

It is a super-2 number, since 2×387441052 = 3002211344502050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38744107) 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 15 ways as a sum of consecutive naturals, for example, 6329 + ... + 10841.

It is an arithmetic number, because the mean of its divisors is an integer number (3107889).

Almost surely, 238744105 is an apocalyptic number.

It is an amenable number.

38744105 is a deficient number, since it is larger than the sum of its proper divisors (10982119).

38744105 is a wasteful number, since it uses less digits than its factorization.

38744105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 38744105 is about 6224.4762831904. The cubic root of 38744105 is about 338.3778118352.

Adding to 38744105 its reverse (50144783), we get a palindrome (88888888).

The spelling of 38744105 in words is "thirty-eight million, seven hundred forty-four thousand, one hundred five".

Divisors: 1 5 17 85 101 505 1717 4513 8585 22565 76721 383605 455813 2279065 7748821 38744105