Search a number
-
+
38663448 = 23331157331
BaseRepresentation
bin1001001101111…
…1010100011000
32200202022021120
42103133110120
534344212243
63500405240
7646430265
oct223372430
980668246
1038663448
111a90846a
1210b46820
1380193a5
1451c626c
1535dac83
hex24df518

38663448 has 64 divisors (see below), whose sum is σ = 100715520. Its totient is φ = 12355200.

The previous prime is 38663441. The next prime is 38663453. The reversal of 38663448 is 84436683.

38663448 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 2×386634482 = 2989724422497408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38663441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 116643 + ... + 116973.

It is an arithmetic number, because the mean of its divisors is an integer number (1573680).

Almost surely, 238663448 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 38663448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50357760).

38663448 is an abundant number, since it is smaller than the sum of its proper divisors (62052072).

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

38663448 is a wasteful number, since it uses less digits than its factorization.

38663448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 524 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 38663448 is about 6217.9938887072. The cubic root of 38663448 is about 338.1428384529.

The spelling of 38663448 in words is "thirty-eight million, six hundred sixty-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 157 186 248 314 331 372 471 628 662 744 942 993 1256 1324 1884 1986 2648 3768 3972 4867 7944 9734 10261 14601 19468 20522 29202 30783 38936 41044 51967 58404 61566 82088 103934 116808 123132 155901 207868 246264 311802 415736 623604 1247208 1610977 3221954 4832931 6443908 9665862 12887816 19331724 38663448