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8281242 = 2322383241
BaseRepresentation
bin11111100101110010011010
3120120201201200
4133211302122
54104444432
6453255030
7130250364
oct37456232
916521650
108281242
114746902
122934476
13193c458
141157d34
15ad8a7c
hex7e5c9a

8281242 has 48 divisors (see below), whose sum is σ = 19027008. Its totient is φ = 2597760.

The previous prime is 8281237. The next prime is 8281249. The reversal of 8281242 is 2421828.

8281242 is a modest number, since divided by 1242 gives 828 as remainder.

It is not an unprimeable number, because it can be changed into a prime (8281249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34242 + ... + 34482.

It is an arithmetic number, because the mean of its divisors is an integer number (396396).

Almost surely, 28281242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8281242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9513504).

8281242 is an abundant number, since it is smaller than the sum of its proper divisors (10745766).

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

8281242 is a wasteful number, since it uses less digits than its factorization.

8281242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 352 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 8281242 is about 2877.7147183138. The cubic root of 8281242 is about 202.3167432156.

It can be divided in two parts, 8281 and 242, that multiplied together give a palindrome (2004002).

The spelling of 8281242 in words is "eight million, two hundred eighty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 83 138 166 207 241 249 414 482 498 723 747 1446 1494 1909 2169 3818 4338 5543 5727 11086 11454 16629 17181 20003 33258 34362 40006 49887 60009 99774 120018 180027 360054 460069 920138 1380207 2760414 4140621 8281242