Search a number
-
+
38632806 = 23217191661
BaseRepresentation
bin1001001101011…
…1110101100110
32200200202020200
42103113311212
534342222211
63500011330
7646242042
oct223276546
980622220
1038632806
111a897443
1210b30b46
138008464
1451b9022
1535d1b56
hex24d7d66

38632806 has 48 divisors (see below), whose sum is σ = 89227008. Its totient is φ = 12038400.

The previous prime is 38632799. The next prime is 38632829. The reversal of 38632806 is 60823683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58116 + ... + 58776.

It is an arithmetic number, because the mean of its divisors is an integer number (1858896).

Almost surely, 238632806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38632806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44613504).

38632806 is an abundant number, since it is smaller than the sum of its proper divisors (50594202).

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

38632806 is a wasteful number, since it uses less digits than its factorization.

38632806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38632806 is about 6215.5294223421. The cubic root of 38632806 is about 338.0534852279.

The spelling of 38632806 in words is "thirty-eight million, six hundred thirty-two thousand, eight hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 191 306 382 573 661 1146 1322 1719 1983 3247 3438 3966 5949 6494 9741 11237 11898 19482 22474 29223 33711 58446 67422 101133 126251 202266 252502 378753 757506 1136259 2146267 2272518 4292534 6438801 12877602 19316403 38632806