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428451660 = 223357138719
BaseRepresentation
bin11001100010011…
…010011101001100
31002212012121012000
4121202122131030
51334140423120
6110303112300
713421531130
oct3142323514
91085177160
10428451660
111aa93908a
12bb5a2690
136a9c38c0
1440c8d3c0
1527933990
hex1989a74c

428451660 has 192 divisors, whose sum is σ = 1640755200. Its totient is φ = 90388224.

The previous prime is 428451649. The next prime is 428451677. The reversal of 428451660 is 66154824.

428451660 is a `hidden beast` number, since 4 + 2 + 84 + 516 + 60 = 666.

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 63 ways as a sum of consecutive naturals, for example, 44781 + ... + 53499.

It is an arithmetic number, because the mean of its divisors is an integer number (8545600).

Almost surely, 2428451660 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 428451660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820377600).

428451660 is an abundant number, since it is smaller than the sum of its proper divisors (1212303540).

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

428451660 is a wasteful number, since it uses less digits than its factorization.

428451660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 428451660 is about 20699.0738923267. The cubic root of 428451660 is about 753.8772018684.

The spelling of 428451660 in words is "four hundred twenty-eight million, four hundred fifty-one thousand, six hundred sixty".