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109628352 = 2632296563
BaseRepresentation
bin1101000100011…
…00101111000000
321122021200211100
412202030233000
5211031101402
614513414400
72500553121
oct642145700
9248250740
10109628352
1156978449
123086a400
1319935162
14107ba048
15995771c
hex688cbc0

109628352 has 84 divisors (see below), whose sum is σ = 325114920. Its totient is φ = 35277312.

The previous prime is 109628341. The next prime is 109628353. The reversal of 109628352 is 253826901.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109628353) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13423 + ... + 19985.

Almost surely, 2109628352 is an apocalyptic number.

109628352 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 109628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162557460).

109628352 is an abundant number, since it is smaller than the sum of its proper divisors (215486568).

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

109628352 is a wasteful number, since it uses less digits than its factorization.

109628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 109628352 is about 10470.3558678777. The cubic root of 109628352 is about 478.6017642398.

The spelling of 109628352 in words is "one hundred nine million, six hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 6563 8352 13126 16704 19689 26252 39378 52504 59067 78756 105008 118134 157512 190327 210016 236268 315024 380654 420032 472536 570981 630048 761308 945072 1141962 1260096 1522616 1712943 1890144 2283924 3045232 3425886 3780288 4567848 6090464 6851772 9135696 12180928 13703544 18271392 27407088 36542784 54814176 109628352