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645054480 = 243257131977
BaseRepresentation
bin100110011100101…
…100000000010000
31122221210011101200
4212130230000100
52310113220410
6144001431200
721661605210
oct4634540020
91587704350
10645054480
11301130a84
1216003b500
13a3841c55
1461954240
153b96c3c0
hex2672c010

645054480 has 240 divisors, whose sum is σ = 2497233024. Its totient is φ = 146165760.

The previous prime is 645054469. The next prime is 645054521. The reversal of 645054480 is 84450546.

645054480 is a `hidden beast` number, since 64 + 50 + 544 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659752 + ... + 660728.

Almost surely, 2645054480 is an apocalyptic number.

645054480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645054480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248616512).

645054480 is an abundant number, since it is smaller than the sum of its proper divisors (1852178544).

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

645054480 is a wasteful number, since it uses less digits than its factorization.

645054480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 645054480 is about 25397.9227497053. The cubic root of 645054480 is about 864.0365853850.

The spelling of 645054480 in words is "six hundred forty-five million, fifty-four thousand, four hundred eighty".