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19430656 = 28721549
BaseRepresentation
bin100101000011…
…1110100000000
31100120011211221
41022013310000
514433240111
61532244424
7324105100
oct112076400
940504757
1019430656
11aa715a3
126610714
13404423b
14281b200
151a8c371
hex1287d00

19430656 has 54 divisors (see below), whose sum is σ = 45146850. Its totient is φ = 8322048.

The previous prime is 19430639. The next prime is 19430657. The reversal of 19430656 is 65603491.

It can be written as a sum of positive squares in only one way, i.e., 15366400 + 4064256 = 3920^2 + 2016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19430657) 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, 11770 + ... + 13318.

Almost surely, 219430656 is an apocalyptic number.

19430656 is a gapful number since it is divisible by the number (16) 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 19430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22573425).

19430656 is an abundant number, since it is smaller than the sum of its proper divisors (25716194).

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

19430656 is an equidigital number, since it uses as much as digits as its factorization.

19430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 19430656 is about 4408.0217785306. The cubic root of 19430656 is about 268.8411973893.

The spelling of 19430656 in words is "nineteen million, four hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1549 1568 1792 3098 3136 6196 6272 10843 12392 12544 21686 24784 43372 49568 75901 86744 99136 151802 173488 198272 303604 346976 396544 607208 693952 1214416 1387904 2428832 2775808 4857664 9715328 19430656