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2126848 = 2103167
BaseRepresentation
bin1000000111010000000000
311000001111011
420013100000
51021024343
6113330304
724035503
oct10072000
94001434
102126848
111222a29
12866994
135960b9
143d513a
152c029d
hex207400

2126848 has 44 divisors (see below), whose sum is σ = 4454272. Its totient is φ = 1013760.

The previous prime is 2126827. The next prime is 2126849. The reversal of 2126848 is 8486212.

2126848 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31711 + ... + 31777.

22126848 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 2126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227136).

2126848 is an abundant number, since it is smaller than the sum of its proper divisors (2327424).

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

2126848 is an equidigital number, since it uses as much as digits as its factorization.

2126848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 2126848 is about 1458.3716947335. The cubic root of 2126848 is about 128.6013371925.

It can be divided in two parts, 21268 and 48, that added together give a square (21316 = 1462).

The spelling of 2126848 in words is "two million, one hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 248 256 268 496 512 536 992 1024 1072 1984 2077 2144 3968 4154 4288 7936 8308 8576 15872 16616 17152 31744 33232 34304 66464 68608 132928 265856 531712 1063424 2126848