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55479216 = 24313671327
BaseRepresentation
bin1101001110100…
…0101110110000
310212101122011210
43103220232300
5103200313331
65301040120
71242364662
oct323505660
9125348153
1055479216
11293533a1
12166b6040
13b656350
147522532
154d0d446
hex34e8bb0

55479216 has 80 divisors (see below), whose sum is σ = 156767744. Its totient is φ = 16803072.

The previous prime is 55479173. The next prime is 55479227. The reversal of 55479216 is 61297455.

55479216 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 (39).

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, 41145 + ... + 42471.

Almost surely, 255479216 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 55479216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78383872).

55479216 is an abundant number, since it is smaller than the sum of its proper divisors (101288528).

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

55479216 is a wasteful number, since it uses less digits than its factorization.

55479216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 55479216 is about 7448.4371515104. The cubic root of 55479216 is about 381.3965601173.

The spelling of 55479216 in words is "fifty-five million, four hundred seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 804 871 1072 1327 1608 1742 2613 2654 3216 3484 3981 5226 5308 6968 7962 10452 10616 13936 15924 17251 20904 21232 31848 34502 41808 51753 63696 69004 88909 103506 138008 177818 207012 266727 276016 355636 414024 533454 711272 828048 1066908 1155817 1422544 2133816 2311634 3467451 4267632 4623268 6934902 9246536 13869804 18493072 27739608 55479216