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5426643240 = 2332517387133
BaseRepresentation
bin1010000110111010…
…00000000100101000
3112000012012001001200
411003131000010220
542103210040430
62254251444200
7251322464214
oct50335000450
915005161050
105426643240
112335220427
121075456660
1368636b305
143969dd944
1521b62e460
hex143740128

5426643240 has 96 divisors (see below), whose sum is σ = 17738739720. Its totient is φ = 1438723584.

The previous prime is 5426643199. The next prime is 5426643247. The reversal of 5426643240 is 423466245.

5426643240 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 643 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5245525476 + 181117764 = 72426^2 + 13458^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5426643195 and 5426643204.

It is not an unprimeable number, because it can be changed into a prime (5426643247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18714 + ... + 105846.

Almost surely, 25426643240 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 5426643240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869369860).

5426643240 is an abundant number, since it is smaller than the sum of its proper divisors (12312096480).

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

5426643240 is a wasteful number, since it uses less digits than its factorization.

5426643240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87323 (or 87316 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5426643240 is about 73665.7535086691. The cubic root of 5426643240 is about 1757.2912921828.

The spelling of 5426643240 in words is "five billion, four hundred twenty-six million, six hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 173 180 346 360 519 692 865 1038 1384 1557 1730 2076 2595 3114 3460 4152 5190 6228 6920 7785 10380 12456 15570 20760 31140 62280 87133 174266 261399 348532 435665 522798 697064 784197 871330 1045596 1306995 1568394 1742660 2091192 2613990 3136788 3485320 3920985 5227980 6273576 7841970 10455960 15074009 15683940 30148018 31367880 45222027 60296036 75370045 90444054 120592072 135666081 150740090 180888108 226110135 271332162 301480180 361776216 452220270 542664324 602960360 678330405 904440540 1085328648 1356660810 1808881080 2713321620 5426643240