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19483904 = 281121737
BaseRepresentation
bin100101001010…
…0110100000000
31100122212220002
41022110310000
514441441104
61533335132
7324416246
oct112246400
940585802
1019483904
11aaa8600
1266374a8
13406254b
142832796
151a9d01e
hex1294d00

19483904 has 108 divisors (see below), whose sum is σ = 46486692. Its totient is φ = 8110080.

The previous prime is 19483901. The next prime is 19483909. The reversal of 19483904 is 40938491.

It can be written as a sum of positive squares in 2 ways, for example, as 16386304 + 3097600 = 4048^2 + 1760^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19483901) 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, 526574 + ... + 526610.

Almost surely, 219483904 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 19483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23243346).

19483904 is an abundant number, since it is smaller than the sum of its proper divisors (27002788).

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

19483904 is a wasteful number, since it uses less digits than its factorization.

19483904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 19483904 is about 4414.0575438025. The cubic root of 19483904 is about 269.0865519360.

The spelling of 19483904 in words is "nineteen million, four hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 37 44 64 68 74 88 121 128 136 148 176 187 242 256 272 296 352 374 407 484 544 592 629 704 748 814 968 1088 1184 1258 1408 1496 1628 1936 2057 2176 2368 2516 2816 2992 3256 3872 4114 4352 4477 4736 5032 5984 6512 6919 7744 8228 8954 9472 10064 11968 13024 13838 15488 16456 17908 20128 23936 26048 27676 30976 32912 35816 40256 47872 52096 55352 65824 71632 76109 80512 104192 110704 131648 143264 152218 161024 221408 263296 286528 304436 442816 526592 573056 608872 885632 1146112 1217744 1771264 2435488 4870976 9741952 19483904