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381853395 = 325711193571
BaseRepresentation
bin10110110000101…
…001111011010011
3222121112011101100
4112300221323103
51240223302040
6101520235443
712314462130
oct2660517323
9877464340
10381853395
11186601120
12a7a6bb83
1361159971
14389dd587
15237cbb30
hex16c29ed3

381853395 has 96 divisors (see below), whose sum is σ = 830928384. Its totient is φ = 157593600.

The previous prime is 381853309. The next prime is 381853399. The reversal of 381853395 is 593358183.

381853395 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 381853395 - 28 = 381853139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 381853395.

It is not an unprimeable number, because it can be changed into a prime (381853399) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 668460 + ... + 669030.

It is an arithmetic number, because the mean of its divisors is an integer number (8655504).

Almost surely, 2381853395 is an apocalyptic number.

381853395 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

381853395 is an abundant number, since it is smaller than the sum of its proper divisors (449074989).

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

381853395 is a wasteful number, since it uses less digits than its factorization.

381853395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 790 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 381853395 is about 19541.0694436103. The cubic root of 381853395 is about 725.4913165938.

It can be divided in two parts, 381 and 853395, that added together give a square (853776 = 9242).

The spelling of 381853395 in words is "three hundred eighty-one million, eight hundred fifty-three thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 193 231 315 385 495 571 579 693 965 1155 1351 1713 1737 2123 2855 2895 3465 3997 4053 5139 6281 6369 6755 8565 8685 10615 11991 12159 14861 18843 19107 19985 20265 25695 31405 31845 35973 43967 44583 56529 59955 60795 74305 94215 95535 110203 131901 133749 179865 219835 222915 282645 330609 395703 551015 659505 668745 771421 991827 1212233 1653045 1978515 2314263 3636699 3857105 4959135 6061165 6942789 8485631 10910097 11571315 18183495 25456893 34713945 42428155 54550485 76370679 127284465 381853395