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19899648 = 28332879
BaseRepresentation
bin100101111101…
…0010100000000
31101110000012000
41023322110000
520043242043
61550304000
7331100316
oct113722400
941400160
1019899648
111026199a
1267b8000
134179852
1429000b6
151b312d3
hex12fa500

19899648 has 72 divisors (see below), whose sum is σ = 58867200. Its totient is φ = 6630912.

The previous prime is 19899641. The next prime is 19899653. The reversal of 19899648 is 84699891.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 19899594 and 19899603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19899641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5473 + ... + 8351.

It is an arithmetic number, because the mean of its divisors is an integer number (817600).

Almost surely, 219899648 is an apocalyptic number.

19899648 is a gapful number since it is divisible by the number (18) 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 19899648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29433600).

19899648 is an abundant number, since it is smaller than the sum of its proper divisors (38967552).

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

19899648 is an equidigital number, since it uses as much as digits as its factorization.

19899648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2884 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 19899648 is about 4460.9021509107. The cubic root of 19899648 is about 270.9870048189.

The spelling of 19899648 in words is "nineteen million, eight hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 2879 3456 5758 6912 8637 11516 17274 23032 25911 34548 46064 51822 69096 77733 92128 103644 138192 155466 184256 207288 276384 310932 368512 414576 552768 621864 737024 829152 1105536 1243728 1658304 2211072 2487456 3316608 4974912 6633216 9949824 19899648