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287421984 = 25322343391
BaseRepresentation
bin10001001000011…
…011011000100000
3202000211112211200
4101020123120200
51042040000414
644304241200
710060021653
oct2110333040
9660745750
10287421984
11138273433
1280310200
13477159a5
142a25b89a
151a377109
hex1121b620

287421984 has 72 divisors (see below), whose sum is σ = 852913152. Its totient is φ = 91639680.

The previous prime is 287421983. The next prime is 287422001. The reversal of 287421984 is 489124782.

287421984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2874219842 = 165222793772992512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (287421983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15072 + ... + 28319.

It is an arithmetic number, because the mean of its divisors is an integer number (11846016).

Almost surely, 2287421984 is an apocalyptic number.

287421984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

287421984 is an abundant number, since it is smaller than the sum of its proper divisors (565491168).

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

287421984 is a wasteful number, since it uses less digits than its factorization.

287421984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43430 (or 43419 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 287421984 is about 16953.5242353913. The cubic root of 287421984 is about 659.9433560203.

The spelling of 287421984 in words is "two hundred eighty-seven million, four hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 43391 86782 130173 173564 260346 347128 390519 520692 694256 781038 997993 1041384 1388512 1562076 1995986 2082768 2993979 3124152 3991972 4165536 5987958 6248304 7983944 8981937 11975916 12496608 15967888 17963874 23951832 31935776 35927748 47903664 71855496 95807328 143710992 287421984