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38616957 = 3241229457
BaseRepresentation
bin1001001101001…
…1111101111101
32200122221111200
42103103331331
534341220312
63455410113
7646144611
oct223237575
980587450
1038616957
111a886545
1210b23939
138001192
1451b3341
1535cc0dc
hex24d3f7d

38616957 has 24 divisors (see below), whose sum is σ = 57515640. Its totient is φ = 24952320.

The previous prime is 38616947. The next prime is 38616973. The reversal of 38616957 is 75961683.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11431161 + 27185796 = 3381^2 + 5214^2 .

It is not a de Polignac number, because 38616957 - 210 = 38615933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38616947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84273 + ... + 84729.

It is an arithmetic number, because the mean of its divisors is an integer number (2396485).

Almost surely, 238616957 is an apocalyptic number.

It is an amenable number.

38616957 is a deficient number, since it is larger than the sum of its proper divisors (18898683).

38616957 is a wasteful number, since it uses less digits than its factorization.

38616957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 730 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 38616957 is about 6214.2543398223. The cubic root of 38616957 is about 338.0072504076.

The spelling of 38616957 in words is "thirty-eight million, six hundred sixteen thousand, nine hundred fifty-seven".

Divisors: 1 3 9 41 123 229 369 457 687 1371 2061 4113 9389 18737 28167 56211 84501 104653 168633 313959 941877 4290773 12872319 38616957