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2148048 = 243272131
BaseRepresentation
bin1000001100011011010000
311001010120100
420030123100
51022214143
6114012400
724154350
oct10143320
94033510
102148048
111237951
12877100
135a2946
143dcb60
152c66d3
hex20c6d0

2148048 has 60 divisors (see below), whose sum is σ = 6873568. Its totient is φ = 613440.

The previous prime is 2148043. The next prime is 2148049. The reversal of 2148048 is 8408412.

It is a super-2 number, since 2×21480482 = 9228220420608, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58 + ... + 2073.

22148048 is an apocalyptic number.

2148048 is a gapful number since it is divisible by the number (28) 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 2148048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436784).

2148048 is an abundant number, since it is smaller than the sum of its proper divisors (4725520).

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

2148048 is a wasteful number, since it uses less digits than its factorization.

2148048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2148048 is about 1465.6220522358. The cubic root of 2148048 is about 129.0272161793.

It can be divided in two parts, 21480 and 48, that added together give a triangular number (21528 = T207).

The spelling of 2148048 in words is "two million, one hundred forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2131 4262 6393 8524 12786 14917 17048 19179 25572 29834 34096 38358 44751 51144 59668 76716 89502 102288 119336 134253 153432 179004 238672 268506 306864 358008 537012 716016 1074024 2148048