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1643427744 = 25372445577
BaseRepresentation
bin110000111110100…
…1011011110100000
311020112101210001020
41201331023132200
511331204141434
6431024205440
755503622350
oct14175133640
94215353036
101643427744
11773743652
1239a469880
1320262c86a
1411839ab60
159942b849
hex61f4b7a0

1643427744 has 48 divisors (see below), whose sum is σ = 4930285248. Its totient is φ = 469550592.

The previous prime is 1643427733. The next prime is 1643427749. The reversal of 1643427744 is 4477243461.

1643427744 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 = 1643427696 and 1643427705.

It is not an unprimeable number, because it can be changed into a prime (1643427749) 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, 1222117 + ... + 1223460.

It is an arithmetic number, because the mean of its divisors is an integer number (102714276).

Almost surely, 21643427744 is an apocalyptic number.

1643427744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1643427744 is an abundant number, since it is smaller than the sum of its proper divisors (3286857504).

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

1643427744 is a wasteful number, since it uses less digits than its factorization.

1643427744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445597 (or 2445589 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 1643427744 is about 40539.2124245156. The cubic root of 1643427744 is about 1180.0947314543.

The spelling of 1643427744 in words is "one billion, six hundred forty-three million, four hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2445577 4891154 7336731 9782308 14673462 17119039 19564616 29346924 34238078 39129232 51357117 58693848 68476156 78258464 102714234 117387696 136952312 205428468 234775392 273904624 410856936 547809248 821713872 1643427744