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288426864 = 24311546263
BaseRepresentation
bin10001001100010…
…000101101110000
3202002201121021110
4101030100231300
51042314124424
644341553320
710101405435
oct2114205560
9662647243
10288426864
1113889a410
1280715840
13479a81ab
142a43db8c
151a4c4c29
hex11310b70

288426864 has 40 divisors (see below), whose sum is σ = 812840832. Its totient is φ = 87401920.

The previous prime is 288426863. The next prime is 288426871. The reversal of 288426864 is 468624882.

288426864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288426863) by changing a digit.

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, 272604 + ... + 273659.

Almost surely, 2288426864 is an apocalyptic number.

288426864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

288426864 is an abundant number, since it is smaller than the sum of its proper divisors (524413968).

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

288426864 is a wasteful number, since it uses less digits than its factorization.

288426864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546285 (or 546279 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 288426864 is about 16983.1346929829. The cubic root of 288426864 is about 660.7115558177.

The spelling of 288426864 in words is "two hundred eighty-eight million, four hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 546263 1092526 1638789 2185052 3277578 4370104 6008893 6555156 8740208 12017786 13110312 18026679 24035572 26220624 36053358 48071144 72106716 96142288 144213432 288426864