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287952002 = 2134712
BaseRepresentation
bin10001001010011…
…100110010000010
3202001211110212222
4101022130302002
51042203431002
644323451042
710064360132
oct2112346202
9661743788
10287952002
111385a5668
1280526a82
1347870000
142a358ac2
151a42e1a2
hex1129cc82

287952002 has 30 divisors (see below), whose sum is σ = 474603999. Its totient is φ = 131029080.

The previous prime is 287951999. The next prime is 287952013. The reversal of 287952002 is 200259782.

It can be written as a sum of positive squares in 3 ways, for example, as 5041 + 287946961 = 71^2 + 16969^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11999.

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 4055627 + ... + 4055697.

Almost surely, 2287952002 is an apocalyptic number.

287952002 is a deficient number, since it is larger than the sum of its proper divisors (186651997).

287952002 is an frugal number, since it uses more digits than its factorization.

287952002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 287952002 is about 16969.1485349148. The cubic root of 287952002 is about 660.3487611888.

The spelling of 287952002 in words is "two hundred eighty-seven million, nine hundred fifty-two thousand, two".

Divisors: 1 2 13 26 71 142 169 338 923 1846 2197 4394 5041 10082 11999 23998 28561 57122 65533 131066 155987 311974 851929 1703858 2027831 4055662 11075077 22150154 143976001 287952002