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38281232 = 24111991093
BaseRepresentation
bin1001001000001…
…0000000010000
32200000212222102
42102002000100
534244444412
63444255532
7643246043
oct222020020
980025872
1038281232
111a677290
12109a15a8
137c14422
145126c5a
1535628c2
hex2482010

38281232 has 40 divisors (see below), whose sum is σ = 81393600. Its totient is φ = 17297280.

The previous prime is 38281231. The next prime is 38281241. The reversal of 38281232 is 23218283.

It is a junction number, because it is equal to n+sod(n) for n = 38281195 and 38281204.

It is not an unprimeable number, because it can be changed into a prime (38281231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34478 + ... + 35570.

It is an arithmetic number, because the mean of its divisors is an integer number (2034840).

Almost surely, 238281232 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 38281232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40696800).

38281232 is an abundant number, since it is smaller than the sum of its proper divisors (43112368).

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

38281232 is a wasteful number, since it uses less digits than its factorization.

38281232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1305 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 38281232 is about 6187.1828807625. The cubic root of 38281232 is about 337.0248846485.

The spelling of 38281232 in words is "thirty-eight million, two hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 199 398 796 1093 1592 2186 2189 3184 4372 4378 8744 8756 12023 17488 17512 24046 35024 48092 96184 192368 217507 435014 870028 1740056 2392577 3480112 4785154 9570308 19140616 38281232