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645463000 = 235371341173
BaseRepresentation
bin100110011110001…
…111101111011000
31122222112220210001
4212132033233120
52310214304000
6144014302344
721665226220
oct4636175730
91588486701
10645463000
1130138a9a6
121601b79b4
13a3955b90
1461a1d080
153b9ed46a
hex2678fbd8

645463000 has 256 divisors, whose sum is σ = 1915280640. Its totient is φ = 198144000.

The previous prime is 645462989. The next prime is 645463031. The reversal of 645463000 is 364546.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 645463000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3730914 + ... + 3731086.

It is an arithmetic number, because the mean of its divisors is an integer number (7481565).

Almost surely, 2645463000 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 645463000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957640320).

645463000 is an abundant number, since it is smaller than the sum of its proper divisors (1269817640).

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

645463000 is a wasteful number, since it uses less digits than its factorization.

645463000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 645463000 is about 25405.9638667774. The cubic root of 645463000 is about 864.2189481406.

The spelling of 645463000 in words is "six hundred forty-five million, four hundred sixty-three thousand".