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287046 = 23237431
BaseRepresentation
bin1000110000101000110
3112120202100
41012011012
533141141
610052530
72303604
oct1060506
9476670
10287046
11186731
1211a146
13a0866
1476874
155a0b6
hex46146

287046 has 24 divisors (see below), whose sum is σ = 640224. Its totient is φ = 92880.

The previous prime is 287003. The next prime is 287047. The reversal of 287046 is 640782.

287046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2870462 = 164790812232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287047) by changing a digit.

287046 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (26676).

2287046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320112).

287046 is an abundant number, since it is smaller than the sum of its proper divisors (353178).

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

287046 is a wasteful number, since it uses less digits than its factorization.

287046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 287046 is about 535.7667402891. The cubic root of 287046 is about 65.9655467562.

It can be divided in two parts, 2870 and 46, that added together give a square (2916 = 542).

The spelling of 287046 in words is "two hundred eighty-seven thousand, forty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 431 666 862 1293 2586 3879 7758 15947 31894 47841 95682 143523 287046