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2804232025 = 5272172892
BaseRepresentation
bin1010011100100101…
…0010111101011001
321020102122202011101
42213021102331121
521220340411100
61142132231401
7126330402400
oct24711227531
97212582141
102804232025
111209a09031
1266316b561
13358c7c5ba
141c8606637
151162c386a
hexa7252f59

2804232025 has 81 divisors (see below), whose sum is σ = 4345719159. Its totient is φ = 1789455360.

The previous prime is 2804232019. The next prime is 2804232047. The reversal of 2804232025 is 5202324082.

It is a happy number.

The square root of 2804232025 is 52955.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1891467081 + 912764944 = 43491^2 + 30212^2 .

It is not a de Polignac number, because 2804232025 - 213 = 2804223833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2804231984 and 2804232002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31508181 + ... + 31508269.

Almost surely, 22804232025 is an apocalyptic number.

2804232025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2804232025 is the 52955-th square number.

2804232025 is the 26478-th centered octagonal number.

It is an amenable number.

2804232025 is a deficient number, since it is larger than the sum of its proper divisors (1541487134).

2804232025 is an equidigital number, since it uses as much as digits as its factorization.

2804232025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The cubic root of 2804232025 is about 1410.1694923926.

The spelling of 2804232025 in words is "two billion, eight hundred four million, two hundred thirty-two thousand, twenty-five".

Divisors: 1 5 7 17 25 35 49 85 89 119 175 245 289 425 445 595 623 833 1225 1445 1513 2023 2225 2975 3115 4165 4361 7225 7565 7921 10115 10591 14161 15575 20825 21805 25721 37825 39605 50575 52955 55447 70805 74137 109025 128605 134657 180047 198025 264775 277235 354025 370685 388129 643025 673285 900235 942599 1260329 1386175 1853425 1940645 2289169 3366425 4501175 4712995 6301645 6598193 9703225 11445845 16024183 23564975 31508225 32990965 57229225 80120915 112169281 164954825 400604575 560846405 2804232025