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5435353000 = 235371170589
BaseRepresentation
bin1010000111111100…
…01110011110101000
3112000210120112121101
411003332032132220
542112422244000
62255202251144
7251456511130
oct50376163650
915023515541
105435353000
11233a12a180
121078356ab4
136880ca80c
14397c29ac0
1521c29ee6a
hex143f8e7a8

5435353000 has 128 divisors (see below), whose sum is σ = 15857337600. Its totient is φ = 1694112000.

The previous prime is 5435352991. The next prime is 5435353013. The reversal of 5435353000 is 3535345.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5435353000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41706 + ... + 112294.

It is an arithmetic number, because the mean of its divisors is an integer number (123885450).

Almost surely, 25435353000 is an apocalyptic number.

5435353000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928668800).

5435353000 is an abundant number, since it is smaller than the sum of its proper divisors (10421984600).

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

5435353000 is a wasteful number, since it uses less digits than its factorization.

5435353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70628 (or 70614 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 28.

The square root of 5435353000 is about 73724.8465579956. The cubic root of 5435353000 is about 1758.2309402326.

Adding to 5435353000 its reverse (3535345), we get a palindrome (5438888345).

It can be divided in two parts, 543535 and 3000, that added together give a triangular number (546535 = T1045).

The spelling of 5435353000 in words is "five billion, four hundred thirty-five million, three hundred fifty-three thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 70589 77000 141178 282356 352945 494123 564712 705890 776479 988246 1411780 1552958 1764725 1976492 2470615 2823560 3105916 3529450 3882395 3952984 4941230 5435353 6211832 7058900 7764790 8823625 9882460 10870706 12353075 14117800 15529580 17647250 19411975 19764920 21741412 24706150 27176765 31059160 35294500 38823950 43482824 49412300 54353530 61765375 70589000 77647900 97059875 98824600 108707060 123530750 135883825 155295800 194119750 217414120 247061500 271767650 388239500 494123000 543535300 679419125 776479000 1087070600 1358838250 2717676500 5435353000