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5641285940 = 2254135319489
BaseRepresentation
bin1010100000011111…
…10011000100110100
3112120011002000111022
411100033303010310
543023132122230
62331440200312
7256540065533
oct52017630464
915504060438
105641285940
1124353a4694
121115309098
136bb981424
143b731431a
152303cc1e5
hex1503f3134

5641285940 has 48 divisors (see below), whose sum is σ = 12170647440. Its totient is φ = 2195128320.

The previous prime is 5641285927. The next prime is 5641285961. The reversal of 5641285940 is 495821465.

It can be written as a sum of positive squares in 8 ways, for example, as 2491607056 + 3149678884 = 49916^2 + 56122^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5641285891 and 5641285900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279716 + ... + 299204.

It is an arithmetic number, because the mean of its divisors is an integer number (253555155).

Almost surely, 25641285940 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 5641285940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085323720).

5641285940 is an abundant number, since it is smaller than the sum of its proper divisors (6529361500).

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

5641285940 is a wasteful number, since it uses less digits than its factorization.

5641285940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19892 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The square root of 5641285940 is about 75108.4944596815. The cubic root of 5641285940 is about 1780.1613644058.

The spelling of 5641285940 in words is "five billion, six hundred forty-one million, two hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 353 410 706 820 1412 1765 3530 7060 14473 19489 28946 38978 57892 72365 77956 97445 144730 194890 289460 389780 799049 1598098 3196196 3995245 6879617 7990490 13759234 15980980 27518468 34398085 68796170 137592340 282064297 564128594 1128257188 1410321485 2820642970 5641285940