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2804048 = 241321761
BaseRepresentation
bin1010101100100101010000
312021110102122
422230211100
51204212143
6140033412
732556032
oct12544520
95243378
102804048
1116457a5
12b32868
13772400
1452dc52
153a5c68
hex2ac950

2804048 has 60 divisors (see below), whose sum is σ = 6331068. Its totient is φ = 1198080.

The previous prime is 2804041. The next prime is 2804051. The reversal of 2804048 is 8404082.

It can be written as a sum of positive squares in 6 ways, for example, as 753424 + 2050624 = 868^2 + 1432^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2804041) 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, 45938 + ... + 45998.

22804048 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 2804048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165534).

2804048 is an abundant number, since it is smaller than the sum of its proper divisors (3527020).

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

2804048 is a wasteful number, since it uses less digits than its factorization.

2804048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2804048 is about 1674.5291875629. The cubic root of 2804048 is about 141.0138644717.

The spelling of 2804048 in words is "two million, eight hundred four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 61 68 104 122 136 169 208 221 244 272 338 442 488 676 793 884 976 1037 1352 1586 1768 2074 2704 2873 3172 3536 4148 5746 6344 8296 10309 11492 12688 13481 16592 20618 22984 26962 41236 45968 53924 82472 107848 164944 175253 215696 350506 701012 1402024 2804048