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288468054 = 23471272003
BaseRepresentation
bin10001001100011…
…010110001010110
3202002210200210000
4101030122301112
51042321434204
644342512130
710101636510
oct2114326126
9662720700
10288468054
11138918356
1280735646
13479c0b74
142a450bb0
151a4d2039
hex1131ac56

288468054 has 80 divisors (see below), whose sum is σ = 744910848. Its totient is φ = 81729648.

The previous prime is 288467969. The next prime is 288468067. The reversal of 288468054 is 450864882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143017 + ... + 145019.

Almost surely, 2288468054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288468054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372455424).

288468054 is an abundant number, since it is smaller than the sum of its proper divisors (456442794).

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

288468054 is a wasteful number, since it uses less digits than its factorization.

288468054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 288468054 is about 16984.3473233445. The cubic root of 288468054 is about 660.7430062095.

The spelling of 288468054 in words is "two hundred eighty-eight million, four hundred sixty-eight thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 127 162 189 254 378 381 567 762 889 1134 1143 1778 2003 2286 2667 3429 4006 5334 6009 6858 8001 10287 12018 14021 16002 18027 20574 24003 28042 36054 42063 48006 54081 72009 84126 108162 126189 144018 162243 252378 254381 324486 378567 508762 757134 763143 1135701 1526286 1780667 2271402 2289429 3561334 4578858 5342001 6868287 10684002 13736574 16026003 20604861 32052006 41209722 48078009 96156018 144234027 288468054