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427545216 = 2734743137
BaseRepresentation
bin11001011110111…
…101001010000000
31002210111112210000
4121132331022000
51333422421331
6110231440000
713411034340
oct3136751200
91083445700
10427545216
111aa37a05a
12bb226000
136a767147
1440ad4d20
15278050e6
hex197bd280

427545216 has 320 divisors, whose sum is σ = 1498812480. Its totient is φ = 118444032.

The previous prime is 427545203. The next prime is 427545227. The reversal of 427545216 is 612545724.

It is a happy number.

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

Its product of digits (67200) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3120700 + ... + 3120836.

It is an arithmetic number, because the mean of its divisors is an integer number (4683789).

Almost surely, 2427545216 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 427545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749406240).

427545216 is an abundant number, since it is smaller than the sum of its proper divisors (1071267264).

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

427545216 is a wasteful number, since it uses less digits than its factorization.

427545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 427545216 is about 20677.1665370282. The cubic root of 427545216 is about 753.3451854628.

The spelling of 427545216 in words is "four hundred twenty-seven million, five hundred forty-five thousand, two hundred sixteen".