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55301328 = 2432478171
BaseRepresentation
bin1101001011110…
…1010011010000
310212001121011100
43102331103100
5103124120303
65253144400
71241024235
oct322752320
9125047140
1055301328
1129241785
121662b100
13b5c33a4
1474b778c
154cc58a3
hex34bd4d0

55301328 has 60 divisors (see below), whose sum is σ = 158079168. Its totient is φ = 18039360.

The previous prime is 55301327. The next prime is 55301341. The reversal of 55301328 is 82310355.

55301328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55301321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2683 + ... + 10853.

Almost surely, 255301328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55301328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79039584).

55301328 is an abundant number, since it is smaller than the sum of its proper divisors (102777840).

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

55301328 is a wasteful number, since it uses less digits than its factorization.

55301328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55301328 is about 7436.4862670484. The cubic root of 55301328 is about 380.9884882958.

The spelling of 55301328 in words is "fifty-five million, three hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 8171 16342 24513 32684 49026 65368 73539 98052 130736 147078 196104 294156 384037 392208 588312 768074 1152111 1176624 1536148 2304222 3072296 3456333 4608444 6144592 6912666 9216888 13825332 18433776 27650664 55301328