Search a number
-
+
381835152 = 243212720879
BaseRepresentation
bin10110110000100…
…101011110010000
3222121111020100200
4112300211132100
51240222211102
6101520015200
712314355006
oct2660453620
9877436320
10381835152
11186599446
12a7a61500
136115157a
14389d6a76
15237c651c
hex16c25790

381835152 has 60 divisors (see below), whose sum is σ = 1077073920. Its totient is φ = 126270144.

The previous prime is 381835151. The next prime is 381835183. The reversal of 381835152 is 251538183.

381835152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (381835151) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7849 + ... + 28727.

It is an arithmetic number, because the mean of its divisors is an integer number (17951232).

Almost surely, 2381835152 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 381835152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538536960).

381835152 is an abundant number, since it is smaller than the sum of its proper divisors (695238768).

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

381835152 is a wasteful number, since it uses less digits than its factorization.

381835152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21020 (or 21011 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 381835152 is about 19540.6026519143. The cubic root of 381835152 is about 725.4797629897.

The spelling of 381835152 in words is "three hundred eighty-one million, eight hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 6096 9144 18288 20879 41758 62637 83516 125274 167032 187911 250548 334064 375822 501096 751644 1002192 1503288 2651633 3006576 5303266 7954899 10606532 15909798 21213064 23864697 31819596 42426128 47729394 63639192 95458788 127278384 190917576 381835152