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264708864 = 283375471
BaseRepresentation
bin11111100011100…
…10001100000000
3200110002121022000
433301302030000
51020231140424
642133344000
76362662650
oct1761621400
9613077260
10264708864
1112646a762
1274798000
1342ac2684
1427228360
151838c3c9
hexfc72300

264708864 has 144 divisors (see below), whose sum is σ = 894781440. Its totient is φ = 75617280.

The previous prime is 264708859. The next prime is 264708883. The reversal of 264708864 is 468807462.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45649 + ... + 51119.

It is an arithmetic number, because the mean of its divisors is an integer number (6213760).

Almost surely, 2264708864 is an apocalyptic number.

264708864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447390720).

264708864 is an abundant number, since it is smaller than the sum of its proper divisors (630072576).

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

264708864 is an equidigital number, since it uses as much as digits as its factorization.

264708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 264708864 is about 16269.8759675666. The cubic root of 264708864 is about 642.0805209512.

The spelling of 264708864 in words is "two hundred sixty-four million, seven hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 5471 6048 6912 8064 10942 12096 16128 16413 21884 24192 32826 38297 43768 48384 49239 65652 76594 87536 98478 114891 131304 147717 153188 175072 196956 229782 262608 295434 306376 344673 350144 393912 459564 525216 590868 612752 689346 700288 787824 919128 1034019 1050432 1181736 1225504 1378692 1400576 1575648 1838256 2068038 2100864 2363472 2451008 2757384 3151296 3676512 4136076 4201728 4726944 4902016 5514768 6302592 7353024 8272152 9453888 9804032 11029536 12605184 14706048 16544304 18907776 22059072 29412096 33088608 37815552 44118144 66177216 88236288 132354432 264708864