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54845028 = 223271032113
BaseRepresentation
bin1101000100110…
…1111001100100
310211012102020100
43101031321210
5103020020103
65235304100
71234114020
oct321157144
9124172210
1054845028
1128a5a977
121644b030
13b4937a4
1473d9380
154c355a3
hex344de64

54845028 has 72 divisors (see below), whose sum is σ = 160055168. Its totient is φ = 15510528.

The previous prime is 54845023. The next prime is 54845029. The reversal of 54845028 is 82054845.

54845028 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 54844983 and 54845001.

It is not an unprimeable number, because it can be changed into a prime (54845023) 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, 24900 + ... + 27012.

Almost surely, 254845028 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 54845028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80027584).

54845028 is an abundant number, since it is smaller than the sum of its proper divisors (105210140).

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

54845028 is a wasteful number, since it uses less digits than its factorization.

54845028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 54845028 is about 7405.7429066907. The cubic root of 54845028 is about 379.9377275611.

The spelling of 54845028 in words is "fifty-four million, eight hundred forty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 618 721 927 1236 1442 1854 2113 2163 2884 3708 4226 4326 6339 6489 8452 8652 12678 12978 14791 19017 25356 25956 29582 38034 44373 59164 76068 88746 133119 177492 217639 266238 435278 532476 652917 870556 1305834 1523473 1958751 2611668 3046946 3917502 4570419 6093892 7835004 9140838 13711257 18281676 27422514 54845028