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8146242 = 23213311123
BaseRepresentation
bin11111000100110101000010
3120022212112200
4133010311002
54041134432
6450334030
7126145656
oct37046502
916285480
108146242
114664435
12288a316
1318c2b80
141120a66
15aada7c
hex7c4d42

8146242 has 48 divisors (see below), whose sum is σ = 19638528. Its totient is φ = 2423520.

The previous prime is 8146223. The next prime is 8146291. The reversal of 8146242 is 2426418.

It is a super-2 number, since 2×81462422 = 132722517445128, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6693 + ... + 7815.

It is an arithmetic number, because the mean of its divisors is an integer number (409136).

Almost surely, 28146242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8146242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9819264).

8146242 is an abundant number, since it is smaller than the sum of its proper divisors (11492286).

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

8146242 is a wasteful number, since it uses less digits than its factorization.

8146242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1172 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 8146242 is about 2854.1622238408. The cubic root of 8146242 is about 201.2113318967.

It can be divided in two parts, 814 and 6242, that added together give a square (7056 = 842).

The spelling of 8146242 in words is "eight million, one hundred forty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1123 1209 2246 2418 3369 3627 6738 7254 10107 14599 20214 29198 34813 43797 69626 87594 104439 131391 208878 262782 313317 452569 626634 905138 1357707 2715414 4073121 8146242