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55504512 = 273276883
BaseRepresentation
bin1101001110111…
…0111010000000
310212102220212200
43103232322000
5103202121022
65301353200
71242531510
oct323567200
9125386780
1055504512
11293703a8
1216708800
13b664a0b
14752b840
154d15bac
hex34eee80

55504512 has 96 divisors (see below), whose sum is σ = 182563680. Its totient is φ = 15856128.

The previous prime is 55504489. The next prime is 55504513. The reversal of 55504512 is 21540555.

55504512 is digitally balanced in base 2, 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55504513) 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, 4623 + ... + 11505.

It is an arithmetic number, because the mean of its divisors is an integer number (1901705).

Almost surely, 255504512 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 55504512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91281840).

55504512 is an abundant number, since it is smaller than the sum of its proper divisors (127059168).

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

55504512 is a wasteful number, since it uses less digits than its factorization.

55504512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 55504512 is about 7450.1350323333. The cubic root of 55504512 is about 381.4545178062.

The spelling of 55504512 in words is "fifty-five million, five hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 6883 8064 13766 20649 27532 41298 48181 55064 61947 82596 96362 110128 123894 144543 165192 192724 220256 247788 289086 330384 385448 433629 440512 495576 578172 660768 770896 867258 881024 991152 1156344 1321536 1541792 1734516 1982304 2312688 2643072 3083584 3469032 3964608 4625376 6167168 6938064 7929216 9250752 13876128 18501504 27752256 55504512