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5205328480 = 255114995927
BaseRepresentation
bin1001101100100001…
…10000001001100000
3111102202202002021201
410312100300021200
541130031002410
62220304130544
7242664363532
oct46620601140
914382662251
105205328480
1122312aa370
121013306a54
1364c560331
1437546d852
15206eb483a
hex136430260

5205328480 has 96 divisors (see below), whose sum is σ = 13444704000. Its totient is φ = 1888734720.

The previous prime is 5205328441. The next prime is 5205328487. The reversal of 5205328480 is 848235025.

It is a super-2 number, since 2×52053284802 = 54190889169398220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205328487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875277 + ... + 881203.

It is an arithmetic number, because the mean of its divisors is an integer number (140049000).

Almost surely, 25205328480 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 5205328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352000).

5205328480 is an abundant number, since it is smaller than the sum of its proper divisors (8239375520).

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

5205328480 is a wasteful number, since it uses less digits than its factorization.

5205328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 5205328480 is about 72147.9624105906. The cubic root of 5205328480 is about 1733.0697699191.

The spelling of 5205328480 in words is "five billion, two hundred five million, three hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 499 880 998 1760 1996 2495 3992 4990 5489 5927 7984 9980 10978 11854 15968 19960 21956 23708 27445 29635 39920 43912 47416 54890 59270 65197 79840 87824 94832 109780 118540 130394 175648 189664 219560 237080 260788 325985 439120 474160 521576 651970 878240 948320 1043152 1303940 2086304 2607880 2957573 5215760 5915146 10431520 11830292 14787865 23660584 29575730 32533303 47321168 59151460 65066606 94642336 118302920 130133212 162666515 236605840 260266424 325333030 473211680 520532848 650666060 1041065696 1301332120 2602664240 5205328480