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54420102 = 232111911439
BaseRepresentation
bin1100111110011…
…0001010000110
310210101211100100
43033212022012
5102412420402
65222224530
71230364122
oct317461206
9123354310
1054420102
112879a6a0
1216285146
13b375259
147328582
154b9e71c
hex33e6286

54420102 has 48 divisors (see below), whose sum is σ = 129392640. Its totient is φ = 16393200.

The previous prime is 54420101. The next prime is 54420131. The reversal of 54420102 is 20102445.

54420102 is a `hidden beast` number, since 544 + 20 + 102 = 666.

54420102 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54420101) 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 23 ways as a sum of consecutive naturals, for example, 37099 + ... + 38537.

It is an arithmetic number, because the mean of its divisors is an integer number (2695680).

Almost surely, 254420102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54420102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64696320).

54420102 is an abundant number, since it is smaller than the sum of its proper divisors (74972538).

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

54420102 is a wasteful number, since it uses less digits than its factorization.

54420102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54420102 is about 7376.9981699876. The cubic root of 54420102 is about 378.9539606614.

Adding to 54420102 its reverse (20102445), we get a palindrome (74522547).

The spelling of 54420102 in words is "fifty-four million, four hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 191 198 382 573 1146 1439 1719 2101 2878 3438 4202 4317 6303 8634 12606 12951 15829 18909 25902 31658 37818 47487 94974 142461 274849 284922 549698 824547 1649094 2473641 3023339 4947282 6046678 9070017 18140034 27210051 54420102