Search a number
-
+
381827088 = 2433899931
BaseRepresentation
bin10110110000100…
…011100000010000
3222121110211022000
4112300203200100
51240221431323
6101515514000
712314322336
oct2660434020
9877424260
10381827088
11186593385
12a7a58900
136114a9b6
14389d3b56
15237c3e43
hex16c23810

381827088 has 80 divisors (see below), whose sum is σ = 1108411200. Its totient is φ = 125832960.

The previous prime is 381827081. The next prime is 381827099. The reversal of 381827088 is 880728183.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (381827081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33483 + ... + 43413.

It is an arithmetic number, because the mean of its divisors is an integer number (13855140).

Almost surely, 2381827088 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 381827088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554205600).

381827088 is an abundant number, since it is smaller than the sum of its proper divisors (726584112).

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

381827088 is a wasteful number, since it uses less digits than its factorization.

381827088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037 (or 10025 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 381827088 is about 19540.3963112318. The cubic root of 381827088 is about 725.4746558032.

The spelling of 381827088 in words is "three hundred eighty-one million, eight hundred twenty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 432 534 712 801 1068 1424 1602 2136 2403 3204 4272 4806 6408 9612 9931 12816 19224 19862 29793 38448 39724 59586 79448 89379 119172 158896 178758 238344 268137 357516 476688 536274 715032 883859 1072548 1430064 1767718 2145096 2651577 3535436 4290192 5303154 7070872 7954731 10606308 14141744 15909462 21212616 23864193 31818924 42425232 47728386 63637848 95456772 127275696 190913544 381827088