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20283648 = 2837411
BaseRepresentation
bin100110101100…
…0000100000000
31102011111221020
41031120010000
520143034043
62002425440
7334260000
oct115300400
942144836
1020283648
11104a4450
126962280
134282578
1429a0000
151ba9e83
hex1358100

20283648 has 180 divisors, whose sum is σ = 68702928. Its totient is φ = 5268480.

The previous prime is 20283617. The next prime is 20283667. The reversal of 20283648 is 84638202.

It is a super-2 number, since 2×202836482 = 822852752375808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1843963 + ... + 1843973.

Almost surely, 220283648 is an apocalyptic number.

20283648 is a gapful number since it is divisible by the number (28) 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 20283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34351464).

20283648 is an abundant number, since it is smaller than the sum of its proper divisors (48419280).

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

20283648 is an frugal number, since it uses more digits than its factorization.

20283648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 20283648 is about 4503.7371148858. The cubic root of 20283648 is about 272.7189744546.

Multiplying 20283648 by its sum of digits (33), we get a square (669360384 = 258722).

20283648 divided by its sum of digits (33) gives a 4-th power (614656 = 284).

The spelling of 20283648 in words is "twenty million, two hundred eighty-three thousand, six hundred forty-eight".