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288956028 = 223194130911
BaseRepresentation
bin10001001110010…
…001111001111100
3202010201111011010
4101032101321330
51042433043103
644401155220
710106041254
oct2116217174
9663644133
10288956028
11139120a39
128092bb10
1347b31cca
142a53a964
151a57b903
hex11391e7c

288956028 has 48 divisors (see below), whose sum is σ = 727050240. Its totient is φ = 89020800.

The previous prime is 288956027. The next prime is 288956077. The reversal of 288956028 is 820659882.

It is a super-4 number, since 4×2889560284 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288956027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6108 + ... + 24803.

It is an arithmetic number, because the mean of its divisors is an integer number (15146880).

Almost surely, 2288956028 is an apocalyptic number.

It is an amenable number.

288956028 is an abundant number, since it is smaller than the sum of its proper divisors (438094212).

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

288956028 is a wasteful number, since it uses less digits than its factorization.

288956028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30978 (or 30976 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 288956028 is about 16998.7066566842. The cubic root of 288956028 is about 661.1153683809.

The spelling of 288956028 in words is "two hundred eighty-eight million, nine hundred fifty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1558 2337 3116 4674 9348 30911 61822 92733 123644 185466 370932 587309 1174618 1267351 1761927 2349236 2534702 3523854 3802053 5069404 7047708 7604106 15208212 24079669 48159338 72239007 96318676 144478014 288956028