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38693106 = 233838997
BaseRepresentation
bin1001001110011…
…0100011110010
32200210210222000
42103212203302
534401134411
63501154430
7646612614
oct223464362
980723860
1038693106
111a928781
1210b5ba16
138029a3a
1451d2db4
1535e4956
hex24e68f2

38693106 has 64 divisors (see below), whose sum is σ = 88905600. Its totient is φ = 12469248.

The previous prime is 38693099. The next prime is 38693111. The reversal of 38693106 is 60139683.

It is a happy number.

38693106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 398850 + ... + 398946.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 238693106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38693106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44452800).

38693106 is an abundant number, since it is smaller than the sum of its proper divisors (50212494).

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

38693106 is a wasteful number, since it uses less digits than its factorization.

38693106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

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

The square root of 38693106 is about 6220.3782843168. The cubic root of 38693106 is about 338.2292773476.

The spelling of 38693106 in words is "thirty-eight million, six hundred ninety-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 83 89 97 166 178 194 249 267 291 498 534 582 747 801 873 1494 1602 1746 2241 2403 2619 4482 4806 5238 7387 8051 8633 14774 16102 17266 22161 24153 25899 44322 48306 51798 66483 72459 77697 132966 144918 155394 199449 217377 233091 398898 434754 466182 716539 1433078 2149617 4299234 6448851 12897702 19346553 38693106