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427808370 = 235111931271
BaseRepresentation
bin11001011111111…
…101011001110010
31002210222220202110
4121133331121302
51334004331440
6110241230150
713413211503
oct3137753162
91083886673
10427808370
111aa539840
12bb332356
136a829b62
1440b62baa
1527858080
hex197fd672

427808370 has 192 divisors, whose sum is σ = 1235450880. Its totient is φ = 93744000.

The previous prime is 427808369. The next prime is 427808431. The reversal of 427808370 is 73808724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6025435 + ... + 6025505.

It is an arithmetic number, because the mean of its divisors is an integer number (6434640).

Almost surely, 2427808370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427808370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617725440).

427808370 is an abundant number, since it is smaller than the sum of its proper divisors (807642510).

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

427808370 is a wasteful number, since it uses less digits than its factorization.

427808370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 427808370 is about 20683.5289542186. The cubic root of 427808370 is about 753.4997150361.

The spelling of 427808370 in words is "four hundred twenty-seven million, eight hundred eight thousand, three hundred seventy".