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5284480 = 27523359
BaseRepresentation
bin10100001010001010000000
3100221110221111
4110022022000
52323100410
6305133104
762626435
oct24121200
910843844
105284480
112a8a343
12192a194
131130416
149b7b8c
156e5b8a
hex50a280

5284480 has 64 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 2016256.

The previous prime is 5284469. The next prime is 5284481. The reversal of 5284480 is 844825.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-5 number, since 5×52844805 (a number of 35 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (5284481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14541 + ... + 14899.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 25284480 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 5284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600).

5284480 is an abundant number, since it is smaller than the sum of its proper divisors (7934720).

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

5284480 is a wasteful number, since it uses less digits than its factorization.

5284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 5284480 is about 2298.7996867931. The cubic root of 5284480 is about 174.1809892858.

The spelling of 5284480 in words is "five million, two hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 359 368 460 640 718 736 920 1436 1472 1795 1840 2872 2944 3590 3680 5744 7180 7360 8257 11488 14360 14720 16514 22976 28720 33028 41285 45952 57440 66056 82570 114880 132112 165140 229760 264224 330280 528448 660560 1056896 1321120 2642240 5284480