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5204406520 = 2351759731777
BaseRepresentation
bin1001101100011010…
…01111000011111000
3111102201000020121001
410312031033003320
541124312002040
62220232254344
7242653503565
oct46615170370
914381006531
105204406520
11223082a715
121012b413b4
1364c2c97b1
143752ad86c
15206d8159a
hex13634f0f8

5204406520 has 128 divisors (see below), whose sum is σ = 12788798400. Its totient is φ = 1898643456.

The previous prime is 5204406481. The next prime is 5204406521. The reversal of 5204406520 is 256044025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5204406521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2927872 + ... + 2929648.

Almost surely, 25204406520 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 5204406520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394399200).

5204406520 is an abundant number, since it is smaller than the sum of its proper divisors (7584391880).

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

5204406520 is a wasteful number, since it uses less digits than its factorization.

5204406520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 5204406520 is about 72141.5727580152. The cubic root of 5204406520 is about 1732.9674443019.

The spelling of 5204406520 in words is "five billion, two hundred four million, four hundred six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 73 85 118 136 146 170 236 292 295 340 365 472 584 590 680 730 1003 1180 1241 1460 1777 2006 2360 2482 2920 3554 4012 4307 4964 5015 6205 7108 8024 8614 8885 9928 10030 12410 14216 17228 17770 20060 21535 24820 30209 34456 35540 40120 43070 49640 60418 71080 73219 86140 104843 120836 129721 146438 151045 172280 209686 241672 259442 292876 302090 366095 419372 518884 524215 585752 604180 648605 732190 838744 1037768 1048430 1208360 1297210 1464380 1782331 2096860 2205257 2594420 2928760 3564662 4193720 4410514 5188840 7129324 7653539 8821028 8911655 11026285 14258648 15307078 17642056 17823310 22052570 30614156 35646620 38267695 44105140 61228312 71293240 76535390 88210280 130110163 153070780 260220326 306141560 520440652 650550815 1040881304 1301101630 2602203260 5204406520