Search a number
-
+
38821572 = 22331013559
BaseRepresentation
bin1001010000010…
…1111011000100
32201001100012000
42110011323010
534414242242
63504025300
7650656266
oct224057304
981040160
1038821572
111aa06249
1211002230
13807335a
145227b36
15361ca4c
hex2505ec4

38821572 has 48 divisors (see below), whose sum is σ = 101673600. Its totient is φ = 12808800.

The previous prime is 38821571. The next prime is 38821583. The reversal of 38821572 is 27512883.

38821572 is a `hidden beast` number, since 3 + 8 + 82 + 1 + 572 = 666.

It is a super-2 number, since 2×388215722 = 3014228905102368, which contains 22 as substring.

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 (38821571) 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 15 ways as a sum of consecutive naturals, for example, 9129 + ... + 12687.

It is an arithmetic number, because the mean of its divisors is an integer number (2118200).

Almost surely, 238821572 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 38821572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50836800).

38821572 is an abundant number, since it is smaller than the sum of its proper divisors (62852028).

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

38821572 is a wasteful number, since it uses less digits than its factorization.

38821572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3665 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 38821572 is about 6230.6959482870. The cubic root of 38821572 is about 338.6031851550.

It can be divided in two parts, 38821 and 572, that added together give a palindrome (39393).

The spelling of 38821572 in words is "thirty-eight million, eight hundred twenty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3559 3636 5454 7118 10677 10908 14236 21354 32031 42708 64062 96093 128124 192186 359459 384372 718918 1078377 1437836 2156754 3235131 4313508 6470262 9705393 12940524 19410786 38821572