Search a number
-
+
287133025 = 5233892
BaseRepresentation
bin10001000111010…
…100110101100001
3202000021212110111
4101013110311201
51042001224100
644254131321
710054406344
oct2107246541
9660255414
10287133025
11138096323
12801b0b41
13476442ca
142a1c445b
151a31b6ba
hex111d4d61

287133025 has 9 divisors (see below), whose sum is σ = 356150041. Its totient is φ = 229638640.

The previous prime is 287133013. The next prime is 287133037. The reversal of 287133025 is 520331782.

The square root of 287133025 is 16945.

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

It is an interprime number because it is at equal distance from previous prime (287133013) and next prime (287133037).

It can be written as a sum of positive squares in 4 ways, for example, as 59243809 + 227889216 = 7697^2 + 15096^2 .

It is not a de Polignac number, because 287133025 - 215 = 287100257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83031 + ... + 86419.

Almost surely, 2287133025 is an apocalyptic number.

287133025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

287133025 is the 16945-th square number.

287133025 is the 8473-rd centered octagonal number.

It is an amenable number.

287133025 is a deficient number, since it is larger than the sum of its proper divisors (69017016).

287133025 is an frugal number, since it uses more digits than its factorization.

287133025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The cubic root of 287133025 is about 659.7221243771.

The spelling of 287133025 in words is "two hundred eighty-seven million, one hundred thirty-three thousand, twenty-five".

Divisors: 1 5 25 3389 16945 84725 11485321 57426605 287133025