Search a number
-
+
188408385 = 32511380623
BaseRepresentation
bin10110011101011…
…10001001000001
3111010112010201100
423032232021001
5341213032020
630410125013
74445305404
oct1316561101
9433463640
10188408385
1197396010
1253120769
1330059169
141b045d3b
1511819a90
hexb3ae241

188408385 has 24 divisors (see below), whose sum is σ = 356264064. Its totient is φ = 91349280.

The previous prime is 188408371. The next prime is 188408431. The reversal of 188408385 is 583804881.

It is not a de Polignac number, because 188408385 - 29 = 188407873 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 188408385.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 189817 + ... + 190806.

It is an arithmetic number, because the mean of its divisors is an integer number (14844336).

Almost surely, 2188408385 is an apocalyptic number.

188408385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

188408385 is a deficient number, since it is larger than the sum of its proper divisors (167855679).

188408385 is a wasteful number, since it uses less digits than its factorization.

188408385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380645 (or 380642 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 188408385 is about 13726.1933907402. The cubic root of 188408385 is about 573.2799359485.

It can be divided in two parts, 18840 and 8385, that added together give a square (27225 = 1652).

The spelling of 188408385 in words is "one hundred eighty-eight million, four hundred eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 380623 1141869 1903115 3425607 4186853 5709345 12560559 17128035 20934265 37681677 62802795 188408385