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287864064 = 283341647
BaseRepresentation
bin10001001010000…
…111010100000000
3202001200000021000
4101022013110000
51042143122224
644321532000
710063542555
oct2112072400
9661600230
10287864064
11138545594
12804a4000
134783bc87
142a334a2c
151a4130c9
hex11287500

287864064 has 72 divisors (see below), whose sum is σ = 851285120. Its totient is φ = 95952384.

The previous prime is 287864051. The next prime is 287864069. The reversal of 287864064 is 460468782.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287864069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13912 + ... + 27735.

Almost surely, 2287864064 is an apocalyptic number.

287864064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

287864064 is an abundant number, since it is smaller than the sum of its proper divisors (563421056).

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

287864064 is an equidigital number, since it uses as much as digits as its factorization.

287864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41672 (or 41652 counting only the distinct ones).

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

The square root of 287864064 is about 16966.5572229607. The cubic root of 287864064 is about 660.2815327835.

The spelling of 287864064 in words is "two hundred eighty-seven million, eight hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 41647 83294 124941 166588 249882 333176 374823 499764 666352 749646 999528 1124469 1332704 1499292 1999056 2248938 2665408 2998584 3998112 4497876 5330816 5997168 7996224 8995752 10661632 11994336 15992448 17991504 23988672 31984896 35983008 47977344 71966016 95954688 143932032 287864064