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38115693 = 3271155001
BaseRepresentation
bin1001000101100…
…1100101101101
32122201110220100
42101121211231
534224200233
63440541313
7641656320
oct221314555
978643810
1038115693
111a573980
1210921839
137b86c85
1450c27b7
15352d813
hex245996d

38115693 has 24 divisors (see below), whose sum is σ = 68642496. Its totient is φ = 19800000.

The previous prime is 38115689. The next prime is 38115703. The reversal of 38115693 is 39651183.

It is a happy number.

38115693 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38115693 - 22 = 38115689 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38115613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26808 + ... + 28193.

It is an arithmetic number, because the mean of its divisors is an integer number (2860104).

Almost surely, 238115693 is an apocalyptic number.

38115693 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

38115693 is a deficient number, since it is larger than the sum of its proper divisors (30526803).

38115693 is a wasteful number, since it uses less digits than its factorization.

38115693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55025 (or 55022 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 38115693 is about 6173.7908127827. The cubic root of 38115693 is about 336.5383853761.

The spelling of 38115693 in words is "thirty-eight million, one hundred fifteen thousand, six hundred ninety-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 55001 165003 385007 495009 605011 1155021 1815033 3465063 4235077 5445099 12705231 38115693