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2049872 = 241119613
BaseRepresentation
bin111110100011101010000
310212010220012
413310131100
51011043442
6111534052
723265206
oct7643520
93763805
102049872
111180110
1282a328
1356a056
143b5076
152a7582
hex1f4750

2049872 has 40 divisors (see below), whose sum is σ = 4568160. Its totient is φ = 881280.

The previous prime is 2049863. The next prime is 2049893. The reversal of 2049872 is 2789402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3038 + ... + 3650.

It is an arithmetic number, because the mean of its divisors is an integer number (114204).

22049872 is an apocalyptic number.

2049872 is a gapful number since it is divisible by the number (22) 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 2049872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284080).

2049872 is an abundant number, since it is smaller than the sum of its proper divisors (2518288).

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

2049872 is a wasteful number, since it uses less digits than its factorization.

2049872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2049872 is about 1431.7374060909. The cubic root of 2049872 is about 127.0307652748.

The spelling of 2049872 in words is "two million, forty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 613 836 1226 1672 2452 3344 4904 6743 9808 11647 13486 23294 26972 46588 53944 93176 107888 128117 186352 256234 512468 1024936 2049872