[go: up one dir, main page]

Search a number
-
+
38224836 = 22321381677
BaseRepresentation
bin1001000111010…
…0001111000100
32122221000121200
42101310033010
534241143321
63443142500
7642622446
oct221641704
978830550
1038224836
111a638981
1210974a30
137bc4860
145110496
153550d26
hex24743c4

38224836 has 36 divisors (see below), whose sum is σ = 104057772. Its totient is φ = 11761344.

The previous prime is 38224831. The next prime is 38224843. The reversal of 38224836 is 63842283.

38224836 is a `hidden beast` number, since 382 + 248 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9000000 + 29224836 = 3000^2 + 5406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×382248362 = 2922276174453792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38224836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38224831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40371 + ... + 41306.

Almost surely, 238224836 is an apocalyptic number.

38224836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38224836 is an abundant number, since it is smaller than the sum of its proper divisors (65832936).

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

38224836 is a wasteful number, since it uses less digits than its factorization.

38224836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81700 (or 81695 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 38224836 is about 6182.6237148965. The cubic root of 38224836 is about 336.8593013613.

It can be divided in two parts, 38224 and 836, that added together give a triangular number (39060 = T279).

The spelling of 38224836 in words is "thirty-eight million, two hundred twenty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 81677 163354 245031 326708 490062 735093 980124 1061801 1470186 2123602 2940372 3185403 4247204 6370806 9556209 12741612 19112418 38224836