Search a number
-
+
38421144 = 23322632029
BaseRepresentation
bin1001001010010…
…0001010011000
32200021222220100
42102210022120
534313434034
63451255400
7644400666
oct222441230
980258810
1038421144
111a762413
1210a4a560
137c63008
145161c36
15358e099
hex24a4298

38421144 has 48 divisors (see below), whose sum is σ = 104504400. Its totient is φ = 12752064.

The previous prime is 38421127. The next prime is 38421157. The reversal of 38421144 is 44112483.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17922 + ... + 19950.

It is an arithmetic number, because the mean of its divisors is an integer number (2177175).

Almost surely, 238421144 is an apocalyptic number.

It is an amenable number.

38421144 is an abundant number, since it is smaller than the sum of its proper divisors (66083256).

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

38421144 is a wasteful number, since it uses less digits than its factorization.

38421144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2297 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 38421144 is about 6198.4791683122. The cubic root of 38421144 is about 337.4349767737.

It can be divided in two parts, 384 and 21144, that added together give a triangular number (21528 = T207).

The spelling of 38421144 in words is "thirty-eight million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 263 526 789 1052 1578 2029 2104 2367 3156 4058 4734 6087 6312 8116 9468 12174 16232 18261 18936 24348 36522 48696 73044 146088 533627 1067254 1600881 2134508 3201762 4269016 4802643 6403524 9605286 12807048 19210572 38421144