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2830848 = 2931997
BaseRepresentation
bin1010110011001000000000
312022211012020
422303020000
51211041343
6140401440
733030126
oct12631000
95284166
102830848
111663949
12b46280
13781677
14539916
153adb83
hex2b3200

2830848 has 80 divisors (see below), whose sum is σ = 8020320. Its totient is φ = 884736.

The previous prime is 2830843. The next prime is 2830853. The reversal of 2830848 is 8480382.

It is an interprime number because it is at equal distance from previous prime (2830843) and next prime (2830853).

It is not an unprimeable number, because it can be changed into a prime (2830843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29136 + ... + 29232.

It is an arithmetic number, because the mean of its divisors is an integer number (100254).

22830848 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 2830848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010160).

2830848 is an abundant number, since it is smaller than the sum of its proper divisors (5189472).

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

2830848 is an equidigital number, since it uses as much as digits as its factorization.

2830848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

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

The square root of 2830848 is about 1682.5124070865. The cubic root of 2830848 is about 141.4616926523.

It can be divided in two parts, 28 and 30848, that added together give a triangular number (30876 = T248).

The spelling of 2830848 in words is "two million, eight hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 97 114 128 152 192 194 228 256 291 304 384 388 456 512 582 608 768 776 912 1164 1216 1536 1552 1824 1843 2328 2432 3104 3648 3686 4656 4864 5529 6208 7296 7372 9312 9728 11058 12416 14592 14744 18624 22116 24832 29184 29488 37248 44232 49664 58976 74496 88464 117952 148992 176928 235904 353856 471808 707712 943616 1415424 2830848