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288672 = 2533197
BaseRepresentation
bin1000110011110100000
3112122222120
41012132200
533214142
610104240
72311416
oct1063640
9478876
10288672
1118797a
1211b080
13a1517
14772b6
155a7ec
hex467a0

288672 has 48 divisors (see below), whose sum is σ = 790272. Its totient is φ = 92160.

The previous prime is 288661. The next prime is 288679. The reversal of 288672 is 276882.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288672.

It is not an unprimeable number, because it can be changed into a prime (288679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2928 + ... + 3024.

It is an arithmetic number, because the mean of its divisors is an integer number (16464).

2288672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395136).

288672 is an abundant number, since it is smaller than the sum of its proper divisors (501600).

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

288672 is a wasteful number, since it uses less digits than its factorization.

288672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 288672 is about 537.2820488347. The cubic root of 288672 is about 66.0898683931.

The spelling of 288672 in words is "two hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 97 124 186 194 248 291 372 388 496 582 744 776 992 1164 1488 1552 2328 2976 3007 3104 4656 6014 9021 9312 12028 18042 24056 36084 48112 72168 96224 144336 288672