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2858506225 = 52174372
BaseRepresentation
bin1010101001100001…
…0101011111110001
321101012210011100221
42222120111133301
521323234144400
61151351413041
7130556621251
oct25230253761
97335704327
102858506225
111237609043
12679384181
133672a3303
141d18d3961
1511ae44c1a
hexaa6157f1

2858506225 has 45 divisors (see below), whose sum is σ = 3870616197. Its totient is φ = 2094117120.

The previous prime is 2858506219. The next prime is 2858506229. The reversal of 2858506225 is 5226058582.

The square root of 2858506225 is 53465.

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

It can be written as a sum of positive squares in 22 ways, for example, as 1093161969 + 1765344256 = 33063^2 + 42016^2 .

It is not a de Polignac number, because 2858506225 - 25 = 2858506193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2858506229) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 77256907 + ... + 77256943.

Almost surely, 22858506225 is an apocalyptic number.

2858506225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2858506225 is the 53465-th square number.

2858506225 is the 26733-rd centered octagonal number.

It is an amenable number.

2858506225 is a deficient number, since it is larger than the sum of its proper divisors (1012109972).

2858506225 is an frugal number, since it uses more digits than its factorization.

2858506225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 43.

The cubic root of 2858506225 is about 1419.2090789900.

The spelling of 2858506225 in words is "two billion, eight hundred fifty-eight million, five hundred six thousand, two hundred twenty-five".

Divisors: 1 5 17 25 37 85 185 289 425 629 925 1369 1445 3145 4913 6845 7225 10693 15725 23273 24565 34225 53465 83521 116365 122825 181781 267325 395641 417605 581825 908905 1978205 2088025 3090277 4544525 6725897 9891025 15451385 33629485 77256925 114340249 168147425 571701245 2858506225