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467488768 = 212196007
BaseRepresentation
bin11011110111010…
…101000000000000
31012120122220000211
4123313111000000
51424134120033
6114215523504
714404406005
oct3367250000
91176586024
10467488768
1121a98125a
12110689594
1375b11096
14461318ac
152b0952cd
hex1bdd5000

467488768 has 52 divisors (see below), whose sum is σ = 984230560. Its totient is φ = 221405184.

The previous prime is 467488757. The next prime is 467488771. The reversal of 467488768 is 867884764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74821 + ... + 80827.

Almost surely, 2467488768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492115280).

467488768 is an abundant number, since it is smaller than the sum of its proper divisors (516741792).

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

467488768 is an equidigital number, since it uses as much as digits as its factorization.

467488768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6050 (or 6028 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 58.

The square root of 467488768 is about 21621.4885704014. The cubic root of 467488768 is about 776.1108000643.

The spelling of 467488768 in words is "four hundred sixty-seven million, four hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 4096 4864 6007 9728 12014 19456 24028 38912 48056 77824 96112 114133 192224 228266 384448 456532 768896 913064 1537792 1826128 3075584 3652256 6151168 7304512 12302336 14609024 24604672 29218048 58436096 116872192 233744384 467488768