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38319912 = 2333414327
BaseRepresentation
bin1001001000101…
…1011100101000
32200002212001000
42102023130220
534302214122
63445155000
7643466601
oct222133450
980085030
1038319912
111a6a3354
12109bba60
137c28c07
145136da8
15356e0ac
hex248b728

38319912 has 64 divisors (see below), whose sum is σ = 109065600. Its totient is φ = 12458880.

The previous prime is 38319893. The next prime is 38319917. The reversal of 38319912 is 21991383.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38319917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6693 + ... + 11019.

It is an arithmetic number, because the mean of its divisors is an integer number (1704150).

Almost surely, 238319912 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 38319912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54532800).

38319912 is an abundant number, since it is smaller than the sum of its proper divisors (70745688).

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

38319912 is a wasteful number, since it uses less digits than its factorization.

38319912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4373 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 38319912 is about 6190.3079083354. The cubic root of 38319912 is about 337.1383583072.

The spelling of 38319912 in words is "thirty-eight million, three hundred nineteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4327 4428 8654 8856 12981 17308 25962 34616 38943 51924 77886 103848 116829 155772 177407 233658 311544 354814 467316 532221 709628 934632 1064442 1419256 1596663 2128884 3193326 4257768 4789989 6386652 9579978 12773304 19159956 38319912