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38616390 = 23253113841
BaseRepresentation
bin1001001101001…
…1110101000110
32200122220201200
42103103311012
534341211030
63455403330
7646143141
oct223236506
980586650
1038616390
111a88607a
1210b23546
138000b47
1451b3058
1535cbd60
hex24d3d46

38616390 has 48 divisors (see below), whose sum is σ = 103648896. Its totient is φ = 9964800.

The previous prime is 38616373. The next prime is 38616397. The reversal of 38616390 is 9361683.

It is a happy number.

38616390 is a `hidden beast` number, since 3 + 8 + 616 + 39 + 0 = 666.

38616390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38616397) 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, 4131 + ... + 9710.

It is an arithmetic number, because the mean of its divisors is an integer number (2159352).

Almost surely, 238616390 is an apocalyptic number.

38616390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38616390 is an abundant number, since it is smaller than the sum of its proper divisors (65032506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38616390 is a wasteful number, since it uses less digits than its factorization.

38616390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13885 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 38616390 is about 6214.2087187348. The cubic root of 38616390 is about 338.0055961166.

The spelling of 38616390 in words is "thirty-eight million, six hundred sixteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 13841 27682 41523 69205 83046 124569 138410 207615 249138 415230 429071 622845 858142 1245690 1287213 2145355 2574426 3861639 4290710 6436065 7723278 12872130 19308195 38616390