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5705978430 = 2351726110789
BaseRepresentation
bin1010101000001101…
…00101001000111110
3112201122210201220110
411110012211020332
543141212302210
62342110530450
7261254005425
oct52406451076
915648721813
105705978430
112468970059
121132b06a26
136cc1b21c9
143c1b542bc
15235e0a420
hex1541a523e

5705978430 has 96 divisors (see below), whose sum is σ = 14787133920. Its totient is φ = 1408481280.

The previous prime is 5705978417. The next prime is 5705978431. The reversal of 5705978430 is 348795075.

It is a self number, because there is not a number n which added to its sum of digits gives 5705978430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5705978431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523476 + ... + 534264.

It is an arithmetic number, because the mean of its divisors is an integer number (154032645).

Almost surely, 25705978430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5705978430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393566960).

5705978430 is an abundant number, since it is smaller than the sum of its proper divisors (9081155490).

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

5705978430 is a wasteful number, since it uses less digits than its factorization.

5705978430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 5705978430 is about 75537.9270962607. The cubic root of 5705978430 is about 1786.9402937659.

The spelling of 5705978430 in words is "five billion, seven hundred five million, nine hundred seventy-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 61 85 102 122 170 183 255 289 305 366 510 578 610 867 915 1037 1445 1734 1830 2074 2890 3111 4335 5185 6222 8670 10370 10789 15555 17629 21578 31110 32367 35258 52887 53945 64734 88145 105774 107890 161835 176290 183413 264435 323670 366826 528870 550239 658129 917065 1100478 1316258 1834130 1974387 2751195 3118021 3290645 3948774 5502390 6236042 6581290 9354063 9871935 11188193 15590105 18708126 19743870 22376386 31180210 33564579 46770315 55940965 67129158 93540630 111881930 167822895 190199281 335645790 380398562 570597843 950996405 1141195686 1901992810 2852989215 5705978430