Search a number
-
+
38849536 = 210113449
BaseRepresentation
bin1001010000110…
…0110000000000
32201002202112201
42110030300000
534421141121
63504402544
7651133645
oct224146000
981082481
1038849536
111aa25260
1211016454
138082cbb
145233dcc
153625e91
hex250cc00

38849536 has 44 divisors (see below), whose sum is σ = 84745800. Its totient is φ = 17653760.

The previous prime is 38849533. The next prime is 38849537. The reversal of 38849536 is 63594883.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (38849533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9540 + ... + 12988.

Almost surely, 238849536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38849536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42372900).

38849536 is an abundant number, since it is smaller than the sum of its proper divisors (45896264).

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

38849536 is a wasteful number, since it uses less digits than its factorization.

38849536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3462 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 38849536 is about 6232.9395954076. The cubic root of 38849536 is about 338.6844666556.

The spelling of 38849536 in words is "thirty-eight million, eight hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 3449 5632 6898 11264 13796 27592 37939 55184 75878 110368 151756 220736 303512 441472 607024 882944 1214048 1765888 2428096 3531776 4856192 9712384 19424768 38849536