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2048328 = 233429109
BaseRepresentation
bin111110100000101001000
310212001210000
413310011020
51011021303
6111523000
723260542
oct7640510
93761700
102048328
111179a37
12829460
13569439
143b4692
152a6da3
hex1f4148

2048328 has 80 divisors (see below), whose sum is σ = 5989500. Its totient is φ = 653184.

The previous prime is 2048327. The next prime is 2048329. The reversal of 2048328 is 8238402.

It is an interprime number because it is at equal distance from previous prime (2048327) and next prime (2048329).

It can be written as a sum of positive squares in 2 ways, for example, as 2022084 + 26244 = 1422^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2048327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18738 + ... + 18846.

22048328 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 2048328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994750).

2048328 is an abundant number, since it is smaller than the sum of its proper divisors (3941172).

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

2048328 is a wasteful number, since it uses less digits than its factorization.

2048328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2048328 is about 1431.1980994957. The cubic root of 2048328 is about 126.9988633209.

The spelling of 2048328 in words is "two million, forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 109 116 162 174 216 218 232 261 324 327 348 436 522 648 654 696 783 872 981 1044 1308 1566 1962 2088 2349 2616 2943 3132 3161 3924 4698 5886 6264 6322 7848 8829 9396 9483 11772 12644 17658 18792 18966 23544 25288 28449 35316 37932 56898 70632 75864 85347 113796 170694 227592 256041 341388 512082 682776 1024164 2048328