Search a number
-
+
38813312 = 271717837
BaseRepresentation
bin1001010000001…
…1111010000000
32201000220212002
42110003322000
534414011222
63503523132
7650623226
oct224037200
981026762
1038813312
111aa0001a
1210bb94a8
13806c675
145224b16
15361a392
hex2503e80

38813312 has 32 divisors (see below), whose sum is σ = 81876420. Its totient is φ = 18264064.

The previous prime is 38813309. The next prime is 38813317. The reversal of 38813312 is 21331883.

It can be written as a sum of positive squares in 2 ways, for example, as 34386496 + 4426816 = 5864^2 + 2104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (38813317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6743 + ... + 11094.

Almost surely, 238813312 is an apocalyptic number.

38813312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38813312 is an abundant number, since it is smaller than the sum of its proper divisors (43063108).

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

38813312 is a wasteful number, since it uses less digits than its factorization.

38813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17868 (or 17856 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 38813312 is about 6230.0330657228. The cubic root of 38813312 is about 338.5791687766.

The spelling of 38813312 in words is "thirty-eight million, eight hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 17837 35674 71348 142696 285392 303229 570784 606458 1141568 1212916 2283136 2425832 4851664 9703328 19406656 38813312