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38190636 = 223311173161
BaseRepresentation
bin1001000110101…
…1111000101100
32122212021201000
42101223320230
534234100021
63442320300
7642420651
oct221537054
978767630
1038190636
111a615210
1210959090
137bb2113
145101c28
153545b26
hex246be2c

38190636 has 192 divisors, whose sum is σ = 119992320. Its totient is φ = 10368000.

The previous prime is 38190631. The next prime is 38190643. The reversal of 38190636 is 63609183.

It is a happy number.

38190636 is a `hidden beast` number, since 3 + 8 + 19 + 0 + 636 = 666.

38190636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38190636.

It is not an unprimeable number, because it can be changed into a prime (38190631) 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 63 ways as a sum of consecutive naturals, for example, 626046 + ... + 626106.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 238190636 is an apocalyptic number.

38190636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38190636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

38190636 is an abundant number, since it is smaller than the sum of its proper divisors (81801684).

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

38190636 is a wasteful number, since it uses less digits than its factorization.

38190636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

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

The square root of 38190636 is about 6179.8572799054. The cubic root of 38190636 is about 336.7588080097.

The spelling of 38190636 in words is "thirty-eight million, one hundred ninety thousand, six hundred thirty-six".