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5188032784 = 2411216372
BaseRepresentation
bin1001101010011101…
…10001100100010000
3111101120012101001101
410311032301210100
541111114022114
62214445314144
7242364360004
oct46516614420
914346171041
105188032784
112222566900
121009565954
13648ab5aac
1437304a704
152056e9d74
hex1353b1910

5188032784 has 45 divisors (see below), whose sum is σ = 11055441061. Its totient is φ = 2356756160.

The previous prime is 5188032739. The next prime is 5188032791. The reversal of 5188032784 is 4872308815.

The square root of 5188032784 is 72028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 157251600 + 5030781184 = 12540^2 + 70928^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3168414 + ... + 3170050.

Almost surely, 25188032784 is an apocalyptic number.

5188032784 is the 72028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5188032784

5188032784 is an abundant number, since it is smaller than the sum of its proper divisors (5867408277).

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

5188032784 is an equidigital number, since it uses as much as digits as its factorization.

5188032784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The cubic root of 5188032784 is about 1731.1481551578.

The spelling of 5188032784 in words is "five billion, one hundred eighty-eight million, thirty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1637 1936 3274 6548 13096 18007 26192 36014 72028 144056 198077 288112 396154 792308 1584616 2679769 3169232 5359538 10719076 21438152 29477459 42876304 58954918 117909836 235819672 324252049 471639344 648504098 1297008196 2594016392 5188032784