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463232768 = 2819131727
BaseRepresentation
bin11011100111000…
…101111100000000
31012021122122220012
4123213011330000
51422041422033
6113544404052
714323261565
oct3347057400
91167578805
10463232768
112185346a9
1210b176628
1374c80b3b
144574486c
152aa04248
hex1b9c5f00

463232768 has 72 divisors (see below), whose sum is σ = 982101120. Its totient is φ = 217451520.

The previous prime is 463232767. The next prime is 463232789. The reversal of 463232768 is 867232364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463232767) 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, 636821 + ... + 637547.

Almost surely, 2463232768 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 463232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491050560).

463232768 is an abundant number, since it is smaller than the sum of its proper divisors (518868352).

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

463232768 is a wasteful number, since it uses less digits than its factorization.

463232768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 879 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The square root of 463232768 is about 21522.8429348913. The cubic root of 463232768 is about 773.7483886375.

The spelling of 463232768 in words is "four hundred sixty-three million, two hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 131 152 256 262 304 524 608 727 1048 1216 1454 2096 2432 2489 2908 4192 4864 4978 5816 8384 9956 11632 13813 16768 19912 23264 27626 33536 39824 46528 55252 79648 93056 95237 110504 159296 186112 190474 221008 318592 380948 442016 637184 761896 884032 1523792 1768064 1809503 3047584 3536128 3619006 6095168 7238012 12190336 14476024 24380672 28952048 57904096 115808192 231616384 463232768