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5205333904 = 2417210612
BaseRepresentation
bin1001101100100001…
…10001011110010000
3111102202202100201121
410312100301132100
541130031141104
62220304212024
7242664415411
oct46620613620
914382670647
105205333904
112231303451
12101330a014
1364c562944
14375471808
15206eb6254
hex136431790

5205333904 has 45 divisors (see below), whose sum is σ = 10723593811. Its totient is φ = 2447260160.

The previous prime is 5205333899. The next prime is 5205333983. The reversal of 5205333904 is 4093335025.

The square root of 5205333904 is 72148.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1012512400 + 4192821504 = 31820^2 + 64752^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5205333904.

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, 4905534 + ... + 4906594.

Almost surely, 25205333904 is an apocalyptic number.

5205333904 is the 72148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205333904

5205333904 is an abundant number, since it is smaller than the sum of its proper divisors (5518259907).

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

5205333904 is an equidigital number, since it uses as much as digits as its factorization.

5205333904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 34.

The cubic root of 5205333904 is about 1733.0703718771.

Adding to 5205333904 its reverse (4093335025), we get a palindrome (9298668929).

The spelling of 5205333904 in words is "five billion, two hundred five million, three hundred thirty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1061 1156 2122 2312 4244 4624 8488 16976 18037 36074 72148 144296 288592 306629 613258 1125721 1226516 2251442 2453032 4502884 4906064 9005768 18011536 19137257 38274514 76549028 153098056 306196112 325333369 650666738 1301333476 2602666952 5205333904