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132444192 = 2537318899
BaseRepresentation
bin1111110010011…
…11000000100000
3100020012212021110
413321033000200
5232401203232
621050423320
73165520446
oct771170040
9306185243
10132444192
1168841311
1238431b40
132159315a
1413838b96
15b962acc
hex7e4f020

132444192 has 48 divisors (see below), whose sum is σ = 352447200. Its totient is φ = 43540992.

The previous prime is 132444187. The next prime is 132444217. The reversal of 132444192 is 291444231.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2442 + ... + 16457.

It is an arithmetic number, because the mean of its divisors is an integer number (7342650).

Almost surely, 2132444192 is an apocalyptic number.

132444192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132444192 is an abundant number, since it is smaller than the sum of its proper divisors (220003008).

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

132444192 is a wasteful number, since it uses less digits than its factorization.

132444192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18985 (or 18977 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 132444192 is about 11508.4400332973. The cubic root of 132444192 is about 509.7348256221.

The spelling of 132444192 in words is "one hundred thirty-two million, four hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 18899 37798 56697 75596 113394 151192 226788 302384 453576 604768 907152 1379627 1814304 2759254 4138881 5518508 8277762 11037016 16555524 22074032 33111048 44148064 66222096 132444192