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427867704 = 2333113137157
BaseRepresentation
bin11001100000001…
…011111000111000
31002211002221011000
4121200023320320
51334013231304
6110242405000
713413546465
oct3140137070
91084087130
10427867704
111aa57a380
12bb360760
136a84ab74
1440b7a66c
152786a939
hex1980be38

427867704 has 256 divisors, whose sum is σ = 1383321600. Its totient is φ = 121305600.

The previous prime is 427867697. The next prime is 427867717. The reversal of 427867704 is 407768724.

It is a self number, because there is not a number n which added to its sum of digits gives 427867704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2725194 + ... + 2725350.

It is an arithmetic number, because the mean of its divisors is an integer number (5403600).

Almost surely, 2427867704 is an apocalyptic number.

427867704 is a gapful number since it is divisible by the number (44) 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 427867704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691660800).

427867704 is an abundant number, since it is smaller than the sum of its proper divisors (955453896).

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

427867704 is a wasteful number, since it uses less digits than its factorization.

427867704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 427867704 is about 20684.9632341950. The cubic root of 427867704 is about 753.5345484557.

The spelling of 427867704 in words is "four hundred twenty-seven million, eight hundred sixty-seven thousand, seven hundred four".