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3535244420 = 2252921012081
BaseRepresentation
bin1101001010110111…
…1000110010000100
3100010101012000122112
43102231320302010
524220010310140
61342444320152
7153415040021
oct32255706204
910111160575
103535244420
11155460a504
12827b43058
13444559706
14257734548
1515a56ec65
hexd2b78c84

3535244420 has 72 divisors (see below), whose sum is σ = 7768699848. Its totient is φ = 1351168000.

The previous prime is 3535244413. The next prime is 3535244483. The reversal of 3535244420 is 244425353.

It can be written as a sum of positive squares in 12 ways, for example, as 149866564 + 3385377856 = 12242^2 + 58184^2 .

It is a super-2 number, since 2×35352444202 = 24995906218282272800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1697780 + ... + 1699860.

It is an arithmetic number, because the mean of its divisors is an integer number (107898609).

Almost surely, 23535244420 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 3535244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884349924).

3535244420 is an abundant number, since it is smaller than the sum of its proper divisors (4233455428).

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

3535244420 is a wasteful number, since it uses less digits than its factorization.

3535244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 3535244420 is about 59457.9214234739. The cubic root of 3535244420 is about 1523.3737992412.

Adding to 3535244420 its reverse (244425353), we get a palindrome (3779669773).

The spelling of 3535244420 in words is "three billion, five hundred thirty-five million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 202 290 404 505 580 841 1010 1682 2020 2081 2929 3364 4162 4205 5858 8324 8410 10405 11716 14645 16820 20810 29290 41620 58580 60349 84941 120698 169882 210181 241396 301745 339764 420362 424705 603490 840724 849410 1050905 1206980 1698820 1750121 2101810 3500242 4203620 6095249 7000484 8750605 12190498 17501210 24380996 30476245 35002420 60952490 121904980 176762221 353524442 707048884 883811105 1767622210 3535244420