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5735032900 = 225275732
BaseRepresentation
bin1010101011101010…
…11010100001000100
3112210200110212010221
411111311122201010
543221132023100
62345025354124
7262055655352
oct52565324104
915720425127
105735032900
112483305113
121140798944
137052159bc
143c59587d2
1523874901a
hex155d5a844

5735032900 has 27 divisors (see below), whose sum is σ = 12446664951. Its totient is φ = 2293710240.

The previous prime is 5735032889. The next prime is 5735032921. The reversal of 5735032900 is 92305375.

The square root of 5735032900 is 75730.

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 1815271236 + 3919761664 = 42606^2 + 62608^2 .

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, 753514 + ... + 761086.

Almost surely, 25735032900 is an apocalyptic number.

5735032900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5735032900 is the 75730-th square number.

It is an amenable number.

5735032900 is an abundant number, since it is smaller than the sum of its proper divisors (6711632051).

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

5735032900 is an frugal number, since it uses more digits than its factorization.

5735032900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15160 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 34.

The cubic root of 5735032900 is about 1789.9681548177.

The spelling of 5735032900 in words is "five billion, seven hundred thirty-five million, thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7573 15146 30292 37865 75730 151460 189325 378650 757300 57350329 114700658 229401316 286751645 573503290 1147006580 1433758225 2867516450 5735032900