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128432352 = 2531678011
BaseRepresentation
bin1111010011110…
…11100011100000
322221200001001210
413221323203200
5230334313402
620424430120
73116441226
oct751734340
9287601053
10128432352
1166551144
1237018340
13207ba099
14130b2b16
15b41e06c
hex7a7b8e0

128432352 has 48 divisors (see below), whose sum is σ = 339196032. Its totient is φ = 42549120.

The previous prime is 128432347. The next prime is 128432371. The reversal of 128432352 is 253234821.

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

It is a zygodrome in base 11.

It is a congruent number.

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, 12027 + ... + 20037.

It is an arithmetic number, because the mean of its divisors is an integer number (7066584).

Almost surely, 2128432352 is an apocalyptic number.

128432352 is a gapful number since it is divisible by the number (12) 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 128432352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169598016).

128432352 is an abundant number, since it is smaller than the sum of its proper divisors (210763680).

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

128432352 is a wasteful number, since it uses less digits than its factorization.

128432352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191 (or 8183 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 128432352 is about 11332.7998305803. The cubic root of 128432352 is about 504.5352087227.

The spelling of 128432352 in words is "one hundred twenty-eight million, four hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 8011 8016 16022 16032 24033 32044 48066 64088 96132 128176 192264 256352 384528 769056 1337837 2675674 4013511 5351348 8027022 10702696 16054044 21405392 32108088 42810784 64216176 128432352