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38742093 = 32131372417
BaseRepresentation
bin1001001111001…
…0100001001101
32200220022011100
42103302201031
534404221333
63502213313
7650205465
oct223624115
980808140
1038742093
111a961565
1210b84239
138046120
145206ba5
153604213
hex24f284d

38742093 has 24 divisors (see below), whose sum is σ = 60730488. Its totient is φ = 23657472.

The previous prime is 38742079. The next prime is 38742107. The reversal of 38742093 is 39024783.

It is an interprime number because it is at equal distance from previous prime (38742079) and next prime (38742107).

It can be written as a sum of positive squares in 4 ways, for example, as 10673289 + 28068804 = 3267^2 + 5298^2 .

It is not a de Polignac number, because 38742093 - 26 = 38742029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38742023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14821 + ... + 17237.

It is an arithmetic number, because the mean of its divisors is an integer number (2530437).

Almost surely, 238742093 is an apocalyptic number.

It is an amenable number.

38742093 is a deficient number, since it is larger than the sum of its proper divisors (21988395).

38742093 is a wasteful number, since it uses less digits than its factorization.

38742093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 38742093 is about 6224.3146610691. The cubic root of 38742093 is about 338.3719543597.

The spelling of 38742093 in words is "thirty-eight million, seven hundred forty-two thousand, ninety-three".

Divisors: 1 3 9 13 39 117 137 411 1233 1781 2417 5343 7251 16029 21753 31421 94263 282789 331129 993387 2980161 4304677 12914031 38742093