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5204434000 = 24532602217
BaseRepresentation
bin1001101100011010…
…10101110001010000
3111102201001122021211
410312031111301100
541124313342000
62220233025504
7242653646653
oct46615256120
914381048254
105204434000
112230849327
121012b55294
1364c30915c
143752b989a
15206d897ba
hex136355c50

5204434000 has 40 divisors (see below), whose sum is σ = 12584326248. Its totient is φ = 2081772800.

The previous prime is 5204433961. The next prime is 5204434013. The reversal of 5204434000 is 4344025.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 202549824 + 5001884176 = 14232^2 + 70724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×52044340002 = 54172266520712000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1299109 + ... + 1303108.

Almost surely, 25204434000 is an apocalyptic number.

5204434000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5204434000 is an abundant number, since it is smaller than the sum of its proper divisors (7379892248).

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

5204434000 is a wasteful number, since it uses less digits than its factorization.

5204434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602240 (or 2602224 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 5204434000 is about 72141.7632166001. The cubic root of 5204434000 is about 1732.9704944006.

Adding to 5204434000 its reverse (4344025), we get a palindrome (5208778025).

The spelling of 5204434000 in words is "five billion, two hundred four million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2602217 5204434 10408868 13011085 20817736 26022170 41635472 52044340 65055425 104088680 130110850 208177360 260221700 325277125 520443400 650554250 1040886800 1301108500 2602217000 5204434000