Search a number
-
+
38313198 = 23272112359
BaseRepresentation
bin1001001000100…
…1110011101110
32200002111211100
42102021303232
534302010243
63445103530
7643441200
oct222116356
980074740
1038313198
111a699300
12109b7ba6
137c25b41
145134770
15356c0d3
hex2489cee

38313198 has 108 divisors (see below), whose sum is σ = 106437240. Its totient is φ = 9923760.

The previous prime is 38313161. The next prime is 38313203. The reversal of 38313198 is 89131383.

38313198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×383131982 = 2935802281974408, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 106543 + ... + 106901.

It is an arithmetic number, because the mean of its divisors is an integer number (985530).

Almost surely, 238313198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38313198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53218620).

38313198 is an abundant number, since it is smaller than the sum of its proper divisors (68124042).

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

38313198 is a wasteful number, since it uses less digits than its factorization.

38313198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 382 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 38313198 is about 6189.7655852221. The cubic root of 38313198 is about 337.1186672464.

It can be divided in two parts, 38 and 313198, that added together give a triangular number (313236 = T791).

The spelling of 38313198 in words is "thirty-eight million, three hundred thirteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 121 126 147 154 198 231 242 294 359 363 441 462 539 693 718 726 847 882 1077 1078 1089 1386 1617 1694 2154 2178 2513 2541 3231 3234 3949 4851 5026 5082 5929 6462 7539 7623 7898 9702 11847 11858 15078 15246 17591 17787 22617 23694 27643 35182 35541 35574 43439 45234 52773 53361 55286 71082 82929 86878 105546 106722 130317 158319 165858 193501 248787 260634 304073 316638 387002 390951 497574 580503 608146 781902 912219 1161006 1741509 1824438 2128511 2736657 3483018 4257022 5473314 6385533 12771066 19156599 38313198