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38500164 = 22331033461
BaseRepresentation
bin1001001011011…
…1011101000100
32200110000022000
42102313131010
534324001124
63453105300
7645150243
oct222673504
980400260
1038500164
111a80681a
1210a88230
137c8cc81
14518295a
1535a76c9
hex24b7744

38500164 has 48 divisors (see below), whose sum is σ = 100813440. Its totient is φ = 12705120.

The previous prime is 38500159. The next prime is 38500199. The reversal of 38500164 is 46100583.

38500164 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 (27).

It is a zygodrome in base 3.

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 15 ways as a sum of consecutive naturals, for example, 9394 + ... + 12854.

It is an arithmetic number, because the mean of its divisors is an integer number (2100280).

Almost surely, 238500164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38500164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50406720).

38500164 is an abundant number, since it is smaller than the sum of its proper divisors (62313276).

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

38500164 is a wasteful number, since it uses less digits than its factorization.

38500164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38500164 is about 6204.8500384780. The cubic root of 38500164 is about 337.6661502900. Note that the first 3 decimals are identical.

The spelling of 38500164 in words is "thirty-eight million, five hundred thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3461 3708 5562 6922 10383 11124 13844 20766 31149 41532 62298 93447 124596 186894 356483 373788 712966 1069449 1425932 2138898 3208347 4277796 6416694 9625041 12833388 19250082 38500164