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4535505440 = 255155318253
BaseRepresentation
bin1000011100101011…
…00101001000100000
3102201002100112210222
410032111211020200
533242042133230
62030015342212
7220252105634
oct41625451040
912632315728
104535505440
111a181a1404
12a66b21968
1357385863b
1431050cdc4
151b82a36e5
hex10e565220

4535505440 has 48 divisors (see below), whose sum is σ = 10722618648. Its totient is φ = 1812934656.

The previous prime is 4535505413. The next prime is 4535505451. The reversal of 4535505440 is 445055354.

It can be written as a sum of positive squares in 4 ways, for example, as 1081357456 + 3454147984 = 32884^2 + 58772^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4535505440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239354 + ... + 257606.

Almost surely, 24535505440 is an apocalyptic number.

4535505440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4535505440 is an abundant number, since it is smaller than the sum of its proper divisors (6187113208).

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

4535505440 is a wasteful number, since it uses less digits than its factorization.

4535505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19821 (or 19813 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

The square root of 4535505440 is about 67346.1612862975. The cubic root of 4535505440 is about 1655.2943425512.

The spelling of 4535505440 in words is "four billion, five hundred thirty-five million, five hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1553 3106 6212 7765 12424 15530 18253 24848 31060 36506 49696 62120 73012 91265 124240 146024 182530 248480 292048 365060 584096 730120 1460240 2920480 28346909 56693818 113387636 141734545 226775272 283469090 453550544 566938180 907101088 1133876360 2267752720 4535505440