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55735104 = 263331877
BaseRepresentation
bin1101010010011…
…1001101000000
310212212122012010
43110213031000
5103232010404
65310332520
71244512005
oct324471500
9125778163
1055735104
1129508677
12167ba140
13b715969
14758b8ac
154d5e189
hex3527340

55735104 has 56 divisors (see below), whose sum is σ = 148079968. Its totient is φ = 18501120.

The previous prime is 55735073. The next prime is 55735111. The reversal of 55735104 is 40153755.

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 7 ways as a sum of consecutive naturals, for example, 63114 + ... + 63990.

Almost surely, 255735104 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 55735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74039984).

55735104 is an abundant number, since it is smaller than the sum of its proper divisors (92344864).

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

55735104 is a wasteful number, since it uses less digits than its factorization.

55735104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 55735104 is about 7465.5946849531. The cubic root of 55735104 is about 381.9820354663.

Adding to 55735104 its reverse (40153755), we get a palindrome (95888859).

The spelling of 55735104 in words is "fifty-five million, seven hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 331 662 877 993 1324 1754 1986 2631 2648 3508 3972 5262 5296 7016 7944 10524 10592 14032 15888 21048 21184 28064 31776 42096 56128 63552 84192 168384 290287 580574 870861 1161148 1741722 2322296 3483444 4644592 6966888 9289184 13933776 18578368 27867552 55735104