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801003204 = 2232532892
BaseRepresentation
bin101111101111100…
…101011011000100
32001211020011211100
4233233211123010
53120024100304
6211252140100
725564262211
oct5757453304
92054204740
10801003204
11381166621
121a4307630
13c9c446c1
147854ab08
154a4c4439
hex2fbe56c4

801003204 has 81 divisors (see below), whose sum is σ = 2087129863. Its totient is φ = 259019904.

The previous prime is 801003193. The next prime is 801003209. The reversal of 801003204 is 402300108.

It is a happy number.

The square root of 801003204 is 28302.

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 8468100 + 792535104 = 2910^2 + 28152^2 .

It is a super-2 number, since 2×8010032042 = 1283212265636531232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (801003209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8999992 + ... + 9000080.

Almost surely, 2801003204 is an apocalyptic number.

801003204 is the 28302-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801003204

801003204 is an abundant number, since it is smaller than the sum of its proper divisors (1286126659).

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

801003204 is a wasteful number, since it uses less digits than its factorization.

801003204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The cubic root of 801003204 is about 928.7056430085.

It can be divided in two parts, 80100 and 3204, that multiplied together give a square (256640400 = 160202).

The spelling of 801003204 in words is "eight hundred one million, three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 89 106 159 178 212 267 318 356 477 534 636 801 954 1068 1602 1908 2809 3204 4717 5618 7921 8427 9434 11236 14151 15842 16854 18868 23763 25281 28302 31684 33708 42453 47526 50562 56604 71289 84906 95052 101124 142578 169812 250001 285156 419813 500002 750003 839626 1000004 1259439 1500006 1679252 2250009 2518878 3000012 3778317 4500018 5037756 7556634 9000036 15113268 22250089 44500178 66750267 89000356 133500534 200250801 267001068 400501602 801003204