Search a number
-
+
8142848 = 214771
BaseRepresentation
bin11111000100000000000000
3120022200212222
4133010000000
54041032343
6450310212
7126133040
oct37040000
916280788
108142848
11466192a
122888368
1318c146c
14111d720
15aaca68
hex7c4000

8142848 has 60 divisors (see below), whose sum is σ = 18873792. Its totient is φ = 3440640.

The previous prime is 8142839. The next prime is 8142853. The reversal of 8142848 is 8482418.

It is a super-2 number, since 2×81428482 = 132611947102208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114653 + ... + 114723.

Almost surely, 28142848 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 8142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9436896).

8142848 is an abundant number, since it is smaller than the sum of its proper divisors (10730944).

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

8142848 is an frugal number, since it uses more digits than its factorization.

8142848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its digits is 16384, while the sum is 35.

The square root of 8142848 is about 2853.5675916298. The cubic root of 8142848 is about 201.1833841991.

The spelling of 8142848 in words is "eight million, one hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 256 284 448 497 512 568 896 994 1024 1136 1792 1988 2048 2272 3584 3976 4096 4544 7168 7952 8192 9088 14336 15904 16384 18176 28672 31808 36352 57344 63616 72704 114688 127232 145408 254464 290816 508928 581632 1017856 1163264 2035712 4071424 8142848