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188944 = 2472241
BaseRepresentation
bin101110001000010000
3100121011221
4232020100
522021234
64014424
71414600
oct561020
9317157
10188944
11119a58
1291414
1368002
144cc00
153aeb4
hex2e210

188944 has 30 divisors (see below), whose sum is σ = 427614. Its totient is φ = 80640.

The previous prime is 188941. The next prime is 188953. The reversal of 188944 is 449881.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 12544 = 420^2 + 112^2 .

It is not an unprimeable number, because it can be changed into a prime (188941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 664 + ... + 904.

2188944 is an apocalyptic number.

188944 is a gapful number since it is divisible by the number (14) 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 188944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213807).

188944 is an abundant number, since it is smaller than the sum of its proper divisors (238670).

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

188944 is a wasteful number, since it uses less digits than its factorization.

188944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 188944 is about 434.6768914953. The cubic root of 188944 is about 57.3822669790.

The spelling of 188944 in words is "one hundred eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 241 392 482 784 964 1687 1928 3374 3856 6748 11809 13496 23618 26992 47236 94472 188944