Search a number
-
+
55816656 = 2437283587
BaseRepresentation
bin1101010011101…
…1000111010000
310220000210001120
43110323013100
5103242113111
65312202240
71245301530
oct324730720
9126023046
1055816656
1129563975
1216839380
13b743b0c
1475ad4c0
154d78406
hex353b1d0

55816656 has 80 divisors (see below), whose sum is σ = 165656064. Its totient is φ = 15864192.

The previous prime is 55816637. The next prime is 55816667. The reversal of 55816656 is 65661855.

55816656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 94795 + ... + 95381.

Almost surely, 255816656 is an apocalyptic number.

55816656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55816656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82828032).

55816656 is an abundant number, since it is smaller than the sum of its proper divisors (109839408).

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

55816656 is a wasteful number, since it uses less digits than its factorization.

55816656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 55816656 is about 7471.0545440386. The cubic root of 55816656 is about 382.1682509476.

The spelling of 55816656 in words is "fifty-five million, eight hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 283 336 566 587 849 1132 1174 1698 1761 1981 2264 2348 3396 3522 3962 4109 4528 4696 5943 6792 7044 7924 8218 9392 11886 12327 13584 14088 15848 16436 23772 24654 28176 31696 32872 47544 49308 65744 95088 98616 166121 197232 332242 498363 664484 996726 1162847 1328968 1993452 2325694 2657936 3488541 3986904 4651388 6977082 7973808 9302776 13954164 18605552 27908328 55816656