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5053829850 = 2325239728289
BaseRepresentation
bin1001011010011101…
…10101001011011010
3111001012200011020100
410231032311023122
540322240023400
62153253040230
7236144562546
oct45516651332
914035604210
105053829850
112163834193
12b90626076
13627058284
1435d2b4a26
151e8a3b100
hex12d3b52da

5053829850 has 72 divisors (see below), whose sum is σ = 13612638780. Its totient is φ = 1344245760.

The previous prime is 5053829783. The next prime is 5053829873. The reversal of 5053829850 is 589283505.

5053829850 is a `hidden beast` number, since 505 + 3 + 8 + 2 + 98 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3596041089 + 1457788761 = 59967^2 + 38181^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5053829796 and 5053829805.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164506 + ... + 192794.

Almost surely, 25053829850 is an apocalyptic number.

5053829850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5053829850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806319390).

5053829850 is an abundant number, since it is smaller than the sum of its proper divisors (8558808930).

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

5053829850 is a wasteful number, since it uses less digits than its factorization.

5053829850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28704 (or 28696 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 5053829850 is about 71090.2936412560. The cubic root of 5053829850 is about 1716.0905721833.

The spelling of 5053829850 in words is "five billion, fifty-three million, eight hundred twenty-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 397 450 794 1191 1985 2382 3573 3970 5955 7146 9925 11910 17865 19850 28289 29775 35730 56578 59550 84867 89325 141445 169734 178650 254601 282890 424335 509202 707225 848670 1273005 1414450 2121675 2546010 4243350 6365025 11230733 12730050 22461466 33692199 56153665 67384398 101076597 112307330 168460995 202153194 280768325 336921990 505382985 561536650 842304975 1010765970 1684609950 2526914925 5053829850