Search a number
-
+
38113461 = 32231011823
BaseRepresentation
bin1001000101100…
…1000010110101
32122201100211200
42101121002311
534224112321
63440523113
7641646651
oct221310265
978640750
1038113461
111a572231
1210920499
137b85c59
1450c1a61
15352cd26
hex24590b5

38113461 has 24 divisors (see below), whose sum is σ = 58046976. Its totient is φ = 24050400.

The previous prime is 38113459. The next prime is 38113463. The reversal of 38113461 is 16431183.

It is an interprime number because it is at equal distance from previous prime (38113459) and next prime (38113463).

It is not a de Polignac number, because 38113461 - 21 = 38113459 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38113463) 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 23 ways as a sum of consecutive naturals, for example, 19996 + ... + 21818.

It is an arithmetic number, because the mean of its divisors is an integer number (2418624).

Almost surely, 238113461 is an apocalyptic number.

It is an amenable number.

38113461 is a deficient number, since it is larger than the sum of its proper divisors (19933515).

38113461 is a wasteful number, since it uses less digits than its factorization.

38113461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1950 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 38113461 is about 6173.6100459942. The cubic root of 38113461 is about 336.5318161804.

The spelling of 38113461 in words is "thirty-eight million, one hundred thirteen thousand, four hundred sixty-one".

Divisors: 1 3 9 23 69 101 207 303 909 1823 2323 5469 6969 16407 20907 41929 125787 184123 377361 552369 1657107 4234829 12704487 38113461