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287103264 = 2537427237
BaseRepresentation
bin10001000111001…
…101100100100000
3202000020100122020
4101013031210200
51041444301024
644253341440
710054223520
oct2107154440
9660210566
10287103264
11138075a28
1280197880
13476338b6
142a1b7680
151a312979
hex111cd920

287103264 has 48 divisors (see below), whose sum is σ = 861311808. Its totient is φ = 82029312.

The previous prime is 287103253. The next prime is 287103287. The reversal of 287103264 is 462301782.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212947 + ... + 214290.

It is an arithmetic number, because the mean of its divisors is an integer number (17943996).

Almost surely, 2287103264 is an apocalyptic number.

287103264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

287103264 is an abundant number, since it is smaller than the sum of its proper divisors (574208544).

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

287103264 is a wasteful number, since it uses less digits than its factorization.

287103264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427257 (or 427249 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 287103264 is about 16944.1218125933. The cubic root of 287103264 is about 659.6993304491.

The spelling of 287103264 in words is "two hundred eighty-seven million, one hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 427237 854474 1281711 1708948 2563422 2990659 3417896 5126844 5981318 6835792 8971977 10253688 11962636 13671584 17943954 20507376 23925272 35887908 41014752 47850544 71775816 95701088 143551632 287103264