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463645056 = 2737241601
BaseRepresentation
bin11011101000101…
…010100110000000
31012022102121110010
4123220222212000
51422143120211
6114001304520
714326626600
oct3350524600
91168377403
10463645056
11218796436
1210b335140
13750966b4
1445810c00
152aa864a6
hex1ba2a980

463645056 has 192 divisors, whose sum is σ = 1470011760. Its totient is φ = 129024000.

The previous prime is 463645043. The next prime is 463645081. The reversal of 463645056 is 650546364.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771156 + ... + 771756.

Almost surely, 2463645056 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 463645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735005880).

463645056 is an abundant number, since it is smaller than the sum of its proper divisors (1006366704).

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

463645056 is a wasteful number, since it uses less digits than its factorization.

463645056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 463645056 is about 21532.4187215464. The cubic root of 463645056 is about 773.9778719578.

The spelling of 463645056 in words is "four hundred sixty-three million, six hundred forty-five thousand, fifty-six".