Search a number
-
+
38467116 = 22333531009
BaseRepresentation
bin1001001010111…
…1011000101100
32200101022222000
42102233120230
534321421431
63452252300
7644652012
oct222573054
980338860
1038467116
111a793a06
1210a71090
137c7ac0c
1451748b2
15359c9e6
hex24af62c

38467116 has 48 divisors (see below), whose sum is σ = 100111200. Its totient is φ = 12773376.

The previous prime is 38467111. The next prime is 38467127. The reversal of 38467116 is 61176483.

38467116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38467111) 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, 37620 + ... + 38628.

It is an arithmetic number, because the mean of its divisors is an integer number (2085650).

Almost surely, 238467116 is an apocalyptic number.

38467116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38467116 is an abundant number, since it is smaller than the sum of its proper divisors (61644084).

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

38467116 is a wasteful number, since it uses less digits than its factorization.

38467116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1367 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 38467116 is about 6202.1863886858. The cubic root of 38467116 is about 337.5695066721.

It can be divided in two parts, 38467 and 116, that added together give a palindrome (38583).

The spelling of 38467116 in words is "thirty-eight million, four hundred sixty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 353 706 1009 1059 1412 2018 2118 3027 3177 4036 4236 6054 6354 9081 9531 12108 12708 18162 19062 27243 36324 38124 54486 108972 356177 712354 1068531 1424708 2137062 3205593 4274124 6411186 9616779 12822372 19233558 38467116