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6142848 = 27317941
BaseRepresentation
bin10111011011101110000000
3102120002101220
4113123232000
53033032343
6335355040
7103133115
oct27335600
912502356
106142848
113516238
122082a80
13137102a
14b5c90c
15815183
hex5dbb80

6142848 has 64 divisors (see below), whose sum is σ = 17295120. Its totient is φ = 1925120.

The previous prime is 6142841. The next prime is 6142879. The reversal of 6142848 is 8482416.

6142848 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×61428482 = 75469163102208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6058 + ... + 6998.

Almost surely, 26142848 is an apocalyptic number.

6142848 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8647560).

6142848 is an abundant number, since it is smaller than the sum of its proper divisors (11152272).

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

6142848 is a wasteful number, since it uses less digits than its factorization.

6142848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 6142848 is about 2478.4769516782. The cubic root of 6142848 is about 183.1428309506.

The spelling of 6142848 in words is "six million, one hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 941 1088 1632 1882 2176 2823 3264 3764 5646 6528 7528 11292 15056 15997 22584 30112 31994 45168 47991 60224 63988 90336 95982 120448 127976 180672 191964 255952 361344 383928 511904 767856 1023808 1535712 2047616 3071424 6142848