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5205829520 = 245229284161
BaseRepresentation
bin1001101100100101…
…01010011110010000
3111102210200112120202
410312102222132100
541130143021040
62220322554332
7243001551353
oct46622523620
914383615522
105205829520
112231611851
1210135089a8
1364c6a73c8
1437556029a
15207063015
hex1364aa790

5205829520 has 40 divisors (see below), whose sum is σ = 12156450360. Its totient is φ = 2073231360.

The previous prime is 5205829511. The next prime is 5205829523. The reversal of 5205829520 is 259285025.

It can be written as a sum of positive squares in 4 ways, for example, as 745726864 + 4460102656 = 27308^2 + 66784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (5205829523) 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, 123761 + ... + 160400.

It is an arithmetic number, because the mean of its divisors is an integer number (303911259).

Almost surely, 25205829520 is an apocalyptic number.

It is an amenable number.

5205829520 is an abundant number, since it is smaller than the sum of its proper divisors (6950620840).

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

5205829520 is a wasteful number, since it uses less digits than its factorization.

5205829520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284403 (or 284397 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The square root of 5205829520 is about 72151.4346357714. The cubic root of 5205829520 is about 1733.1253738015.

The spelling of 5205829520 in words is "five billion, two hundred five million, eight hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 3664 4580 9160 18320 284161 568322 1136644 1420805 2273288 2841610 4546576 5683220 11366440 22732880 65072869 130145738 260291476 325364345 520582952 650728690 1041165904 1301457380 2602914760 5205829520