Search a number
-
+
38181942 = 234534447
BaseRepresentation
bin1001000110100…
…1110000110110
32122211211210000
42101221300312
534233310232
63442212130
7642353421
oct221516066
978754700
1038181942
111a609727
1210954046
137bab186
1450dc9b8
15354327c
hex2469c36

38181942 has 40 divisors (see below), whose sum is σ = 87189696. Its totient is φ = 12484368.

The previous prime is 38181919. The next prime is 38181959. The reversal of 38181942 is 24918183.

It is a junction number, because it is equal to n+sod(n) for n = 38181897 and 38181906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6363 + ... + 10809.

Almost surely, 238181942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38181942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43594848).

38181942 is an abundant number, since it is smaller than the sum of its proper divisors (49007754).

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

38181942 is a wasteful number, since it uses less digits than its factorization.

38181942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514 (or 4505 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 38181942 is about 6179.1538255654. The cubic root of 38181942 is about 336.7332519783.

The spelling of 38181942 in words is "thirty-eight million, one hundred eighty-one thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 4293 4447 8586 8894 13341 26682 40023 80046 120069 235691 240138 360207 471382 707073 720414 1414146 2121219 4242438 6363657 12727314 19090971 38181942