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427432896 = 263311113199
BaseRepresentation
bin11001011110100…
…001101111000000
31002210021211201000
4121132201233000
51333410323041
6110225212000
713410056022
oct3136415700
91083254630
10427432896
111aa302730
12bb191000
136a727c97
1440aa6012
15277d1bb6
hex197a1bc0

427432896 has 224 divisors, whose sum is σ = 1389888000. Its totient is φ = 127733760.

The previous prime is 427432877. The next prime is 427432931. The reversal of 427432896 is 698234724.

It is a super-4 number, since 4×4274328964 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2147805 + ... + 2148003.

Almost surely, 2427432896 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 427432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944000).

427432896 is an abundant number, since it is smaller than the sum of its proper divisors (962455104).

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

427432896 is a wasteful number, since it uses less digits than its factorization.

427432896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 427432896 is about 20674.4503191741. The cubic root of 427432896 is about 753.2792094842.

The spelling of 427432896 in words is "four hundred twenty-seven million, four hundred thirty-two thousand, eight hundred ninety-six".