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4408745536 = 261313014073
BaseRepresentation
bin1000001101100100…
…00001111001000000
3102101020211110220201
410012302001321000
533012114324121
62005250414544
7214152501346
oct40662017100
912336743821
104408745536
111962692858
12a30591454
13553505890
142db753996
151ac0b4e91
hex106c81e40

4408745536 has 56 divisors (see below), whose sum is σ = 9431130744. Its totient is φ = 2032742400.

The previous prime is 4408745531. The next prime is 4408745557. The reversal of 4408745536 is 6355478044.

It can be written as a sum of positive squares in 4 ways, for example, as 673091136 + 3735654400 = 25944^2 + 61120^2 .

It is not an unprimeable number, because it can be changed into a prime (4408745531) 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 7 ways as a sum of consecutive naturals, for example, 1080396 + ... + 1084468.

It is an arithmetic number, because the mean of its divisors is an integer number (168413049).

Almost surely, 24408745536 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 4408745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715565372).

4408745536 is an abundant number, since it is smaller than the sum of its proper divisors (5022385208).

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

4408745536 is a wasteful number, since it uses less digits than its factorization.

4408745536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5399 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The square root of 4408745536 is about 66398.3850406017. The cubic root of 4408745536 is about 1639.7274899183.

The spelling of 4408745536 in words is "four billion, four hundred eight million, seven hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1301 2602 4073 5204 8146 10408 16292 16913 20816 32584 33826 41632 52949 65168 67652 83264 105898 130336 135304 211796 260672 270608 423592 541216 847184 1082432 1694368 3388736 5298973 10597946 21195892 42391784 68886649 84783568 137773298 169567136 275546596 339134272 551093192 1102186384 2204372768 4408745536