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55816816 = 241132621
BaseRepresentation
bin1101010011101…
…1001001110000
310220000210021111
43110323021300
5103242114231
65312203104
71245302146
oct324731160
9126023244
1055816816
1129564000
1216839494
13b743c03
1475ad596
154d784b1
hex353b270

55816816 has 40 divisors (see below), whose sum is σ = 118996848. Its totient is φ = 25361600.

The previous prime is 55816811. The next prime is 55816819. The reversal of 55816816 is 61861855.

55816816 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 (55816811) 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 7 ways as a sum of consecutive naturals, for example, 19986 + ... + 22606.

Almost surely, 255816816 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 55816816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59498424).

55816816 is an abundant number, since it is smaller than the sum of its proper divisors (63180032).

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

55816816 is a wasteful number, since it uses less digits than its factorization.

55816816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2634 counting only the distinct ones).

The product of its digits is 57600, while the sum is 40.

The square root of 55816816 is about 7471.0652520240. The cubic root of 55816816 is about 382.1686161126.

The spelling of 55816816 in words is "fifty-five million, eight hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2621 2662 5242 5324 10484 10648 20968 21296 28831 41936 57662 115324 230648 317141 461296 634282 1268564 2537128 3488551 5074256 6977102 13954204 27908408 55816816