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19805408 = 257217743
BaseRepresentation
bin100101110001…
…1010011100000
31101021012220122
41023203103200
520032233113
61544255412
7330225500
oct113432340
941235818
1019805408
11101a8107
126771568
13414599c
1428b7a00
151b13408
hex12e34e0

19805408 has 72 divisors (see below), whose sum is σ = 48090672. Its totient is φ = 7977984.

The previous prime is 19805407. The next prime is 19805441. The reversal of 19805408 is 80450891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19805407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26285 + ... + 27027.

It is an arithmetic number, because the mean of its divisors is an integer number (667926).

Almost surely, 219805408 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 19805408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24045336).

19805408 is an abundant number, since it is smaller than the sum of its proper divisors (28285264).

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

19805408 is a wasteful number, since it uses less digits than its factorization.

19805408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 19805408 is about 4450.3267295784. The cubic root of 19805408 is about 270.5585510860.

The spelling of 19805408 in words is "nineteen million, eight hundred five thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 743 784 833 952 1486 1568 1666 1904 2972 3332 3808 5201 5944 6664 10402 11888 12631 13328 20804 23776 25262 26656 36407 41608 50524 72814 83216 88417 101048 145628 166432 176834 202096 291256 353668 404192 582512 618919 707336 1165024 1237838 1414672 2475676 2829344 4951352 9902704 19805408