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38149407 = 338211721
BaseRepresentation
bin1001000110000…
…1110100011111
32122210012011000
42101201310133
534231240112
63441401343
7642156522
oct221416437
978705130
1038149407
111a59723a
1210939253
137b9941a
1450d0bb9
1535387dc
hex2461d1f

38149407 has 16 divisors (see below), whose sum is σ = 56619360. Its totient is φ = 25387200.

The previous prime is 38149399. The next prime is 38149409. The reversal of 38149407 is 70494183.

It is a happy number.

38149407 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 38149407 - 23 = 38149399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38149409) 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 15 ways as a sum of consecutive naturals, for example, 21307 + ... + 23027.

It is an arithmetic number, because the mean of its divisors is an integer number (3538710).

Almost surely, 238149407 is an apocalyptic number.

38149407 is a deficient number, since it is larger than the sum of its proper divisors (18469953).

38149407 is a wasteful number, since it uses less digits than its factorization.

38149407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38149407 is about 6176.5206224864. The cubic root of 38149407 is about 336.6375808396.

The spelling of 38149407 in words is "thirty-eight million, one hundred forty-nine thousand, four hundred seven".

Divisors: 1 3 9 27 821 1721 2463 5163 7389 15489 22167 46467 1412941 4238823 12716469 38149407