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38382505 = 5737107277
BaseRepresentation
bin1001001001101…
…0101110101001
32200020000220021
42102122232221
534311220010
63450400441
7644150230
oct222325651
980200807
1038382505
111a736387
1210a30121
137c4b555
145151b17
1535828da
hex249aba9

38382505 has 32 divisors (see below), whose sum is σ = 54763776. Its totient is φ = 25277184.

The previous prime is 38382499. The next prime is 38382511. The reversal of 38382505 is 50528383.

38382505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38382499) and next prime (38382511).

It is a cyclic number.

It is not a de Polignac number, because 38382505 - 25 = 38382473 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 138427 + ... + 138703.

It is an arithmetic number, because the mean of its divisors is an integer number (1711368).

Almost surely, 238382505 is an apocalyptic number.

38382505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38382505 is a deficient number, since it is larger than the sum of its proper divisors (16381271).

38382505 is a wasteful number, since it uses less digits than its factorization.

38382505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433.

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 38382505 is about 6195.3615713693. The cubic root of 38382505 is about 337.3218227319.

The spelling of 38382505 in words is "thirty-eight million, three hundred eighty-two thousand, five hundred five".

Divisors: 1 5 7 35 37 107 185 259 277 535 749 1295 1385 1939 3745 3959 9695 10249 19795 27713 29639 51245 71743 138565 148195 207473 358715 1037365 1096643 5483215 7676501 38382505