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287105952 = 2537427241
BaseRepresentation
bin10001000111001…
…110001110100000
3202000020111022210
4101013032032200
51041444342302
644253402120
710054234410
oct2107161640
9660214283
10287105952
11138077a51
1280199340
1347634ba3
142a1b8640
151a31366c
hex111ce3a0

287105952 has 48 divisors (see below), whose sum is σ = 861319872. Its totient is φ = 82030080.

The previous prime is 287105947. The next prime is 287105953. The reversal of 287105952 is 259501782.

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

It is a self number, because there is not a number n which added to its sum of digits gives 287105952.

It is not an unprimeable number, because it can be changed into a prime (287105953) 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, 212949 + ... + 214292.

It is an arithmetic number, because the mean of its divisors is an integer number (17944164).

Almost surely, 2287105952 is an apocalyptic number.

It is an amenable number.

287105952 is an abundant number, since it is smaller than the sum of its proper divisors (574213920).

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

287105952 is a wasteful number, since it uses less digits than its factorization.

287105952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427261 (or 427253 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 287105952 is about 16944.2011319507. The cubic root of 287105952 is about 659.7013892510.

The spelling of 287105952 in words is "two hundred eighty-seven million, one hundred five thousand, nine hundred fifty-two".

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 427241 854482 1281723 1708964 2563446 2990687 3417928 5126892 5981374 6835856 8972061 10253784 11962748 13671712 17944122 20507568 23925496 35888244 41015136 47850992 71776488 95701984 143552976 287105952