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189148032 = 2732164191
BaseRepresentation
bin10110100011000…
…10101110000000
3111011220201022200
423101202232000
5341410214112
630434033200
74454505663
oct1321425600
9434821280
10189148032
1197850797
1253418800
1330257a18
141b1996da
1511913cdc
hexb462b80

189148032 has 48 divisors (see below), whose sum is σ = 544296480. Its totient is φ = 63048960.

The previous prime is 189147991. The next prime is 189148061. The reversal of 189148032 is 230841981.

189148032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80944 + ... + 83247.

It is an arithmetic number, because the mean of its divisors is an integer number (11339510).

Almost surely, 2189148032 is an apocalyptic number.

189148032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189148032 is an abundant number, since it is smaller than the sum of its proper divisors (355148448).

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

189148032 is a wasteful number, since it uses less digits than its factorization.

189148032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164211 (or 164196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 189148032 is about 13753.1099028547. The cubic root of 189148032 is about 574.0291437893.

The spelling of 189148032 in words is "one hundred eighty-nine million, one hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 164191 328382 492573 656764 985146 1313528 1477719 1970292 2627056 2955438 3940584 5254112 5910876 7881168 10508224 11821752 15762336 21016448 23643504 31524672 47287008 63049344 94574016 189148032