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55036768 = 2519131691
BaseRepresentation
bin1101000111110…
…0101101100000
310211120011020211
43101330231200
5103042134033
65243343504
71235543023
oct321745540
9124504224
1055036768
1129080a36
1216521b94
13b52cb47
1474491ba
154c722cd
hex347cb60

55036768 has 48 divisors (see below), whose sum is σ = 115093440. Its totient is φ = 25833600.

The previous prime is 55036757. The next prime is 55036771. The reversal of 55036768 is 86763055.

55036768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55036768.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 79303 + ... + 79993.

It is an arithmetic number, because the mean of its divisors is an integer number (2397780).

Almost surely, 255036768 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 55036768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57546720).

55036768 is an abundant number, since it is smaller than the sum of its proper divisors (60056672).

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

55036768 is a wasteful number, since it uses less digits than its factorization.

55036768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 55036768 is about 7418.6769709969. The cubic root of 55036768 is about 380.3799708089.

The spelling of 55036768 in words is "fifty-five million, thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 131 152 262 304 524 608 691 1048 1382 2096 2489 2764 4192 4978 5528 9956 11056 13129 19912 22112 26258 39824 52516 79648 90521 105032 181042 210064 362084 420128 724168 1448336 1719899 2896672 3439798 6879596 13759192 27518384 55036768