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55428016 = 247219612
BaseRepresentation
bin1101001101110…
…0001110110000
310212022000221111
43103130032300
5103142144031
65300003104
71242062500
oct323341660
9125260844
1055428016
1129318986
1216690494
13b638c57
14750ba00
154ced1b1
hex34dc3b0

55428016 has 90 divisors (see below), whose sum is σ = 133691220. Its totient is φ = 22135680.

The previous prime is 55428001. The next prime is 55428017. The reversal of 55428016 is 61082455.

55428016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55428017) 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 17 ways as a sum of consecutive naturals, for example, 908626 + ... + 908686.

It is an arithmetic number, because the mean of its divisors is an integer number (1485458).

Almost surely, 255428016 is an apocalyptic number.

55428016 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 55428016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66845610).

55428016 is an abundant number, since it is smaller than the sum of its proper divisors (78263204).

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

55428016 is a wasteful number, since it uses less digits than its factorization.

55428016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 55428016 is about 7444.9993955675. Note that the first 3 decimals coincide. The cubic root of 55428016 is about 381.2791977639.

The spelling of 55428016 in words is "fifty-five million, four hundred twenty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 61 76 98 112 122 133 152 196 244 266 304 392 427 488 532 784 854 931 976 1064 1159 1708 1862 2128 2318 2989 3416 3721 3724 4636 5978 6832 7442 7448 8113 9272 11956 14884 14896 16226 18544 23912 26047 29768 32452 47824 52094 56791 59536 64904 70699 104188 113582 129808 141398 182329 208376 227164 282796 364658 416752 454328 494893 565592 729316 908656 989786 1131184 1458632 1979572 2917264 3464251 3959144 6928502 7918288 13857004 27714008 55428016