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382427136 = 2133371319
BaseRepresentation
bin10110110010110…
…110000000000000
3222122121022102000
4112302312000000
51240400132021
6101540424000
712322401630
oct2662660000
9878538360
10382427136
11186963193
12a80a8000
13612cab60
1438b0c6c0
1523891b26
hex16cb6000

382427136 has 448 divisors, whose sum is σ = 1467916800. Its totient is φ = 95551488.

The previous prime is 382427119. The next prime is 382427159. The reversal of 382427136 is 631724283.

It is a happy number.

382427136 is a `hidden beast` number, since 382 + 4 + 271 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 382427136.

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, 20127735 + ... + 20127753.

It is an arithmetic number, because the mean of its divisors is an integer number (3276600).

Almost surely, 2382427136 is an apocalyptic number.

382427136 is a gapful number since it is divisible by the number (36) 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 382427136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733958400).

382427136 is an abundant number, since it is smaller than the sum of its proper divisors (1085489664).

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

382427136 is a wasteful number, since it uses less digits than its factorization.

382427136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 382427136 is about 19555.7443223213. The cubic root of 382427136 is about 725.8544889714.

The spelling of 382427136 in words is "three hundred eighty-two million, four hundred twenty-seven thousand, one hundred thirty-six".