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287438116 = 22741732
BaseRepresentation
bin10001001000011…
…111010100100100
3202000212100222011
4101020133110210
51042041004431
644304444004
710060120000
oct2110372444
9660770864
10287438116
11138284569
1280319604
1347720134
142a263700
151a37bcb1
hex1121f524

287438116 has 45 divisors (see below), whose sum is σ = 590229521. Its totient is φ = 122475696.

The previous prime is 287438113. The next prime is 287438117. The reversal of 287438116 is 611834782.

The square root of 287438116 is 16954.

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

It can be written as a sum of positive squares in only one way, i.e., 261468900 + 25969216 = 16170^2 + 5096^2 .

It is not an unprimeable number, because it can be changed into a prime (287438113) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1661406 + ... + 1661578.

Almost surely, 2287438116 is an apocalyptic number.

287438116 is the 16954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287438116

287438116 is an abundant number, since it is smaller than the sum of its proper divisors (302791405).

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

287438116 is an frugal number, since it uses more digits than its factorization.

287438116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 182 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The cubic root of 287438116 is about 659.9557025672.

The spelling of 287438116 in words is "two hundred eighty-seven million, four hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 173 196 343 346 686 692 1211 1372 2401 2422 4802 4844 8477 9604 16954 29929 33908 59339 59858 118678 119716 209503 237356 415373 419006 830746 838012 1466521 1661492 2933042 5866084 10265647 20531294 41062588 71859529 143719058 287438116