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2090048 = 26172113
BaseRepresentation
bin111111110010001000000
310221012000012
413332101000
51013340143
6112444052
723523302
oct7762100
93835005
102090048
1111a8314
12849628
1358241c
143c5972
152b4418
hex1fe440

2090048 has 42 divisors (see below), whose sum is σ = 4444746. Its totient is φ = 974848.

The previous prime is 2090047. The next prime is 2090069. The reversal of 2090048 is 8400902.

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 1827904 = 512^2 + 1352^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2090041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18440 + ... + 18552.

22090048 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 2090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222373).

2090048 is an abundant number, since it is smaller than the sum of its proper divisors (2354698).

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

2090048 is a wasteful number, since it uses less digits than its factorization.

2090048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2090048 is about 1445.6998305319. The cubic root of 2090048 is about 127.8553052447.

The spelling of 2090048 in words is "two million, ninety thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 136 226 272 289 452 544 578 904 1088 1156 1808 1921 2312 3616 3842 4624 7232 7684 9248 15368 18496 30736 32657 61472 65314 122944 130628 261256 522512 1045024 2090048