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54022128 = 243291972
BaseRepresentation
bin1100111000010…
…0111111110000
310202122121102120
43032010333300
5102312202003
65205514240
71224115626
oct316047760
9122577376
1054022128
1128548696
1216112980
13b266074
147263516
154b21853
hex3384ff0

54022128 has 60 divisors (see below), whose sum is σ = 145106040. Its totient is φ = 17298176.

The previous prime is 54022123. The next prime is 54022151. The reversal of 54022128 is 82122045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 54022098 and 54022107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54022123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274126 + ... + 274322.

It is an arithmetic number, because the mean of its divisors is an integer number (2418434).

Almost surely, 254022128 is an apocalyptic number.

54022128 is a gapful number since it is divisible by the number (58) 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 54022128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72553020).

54022128 is an abundant number, since it is smaller than the sum of its proper divisors (91083912).

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

54022128 is a wasteful number, since it uses less digits than its factorization.

54022128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 54022128 is about 7349.9746938340. The cubic root of 54022128 is about 378.0279366828.

The spelling of 54022128 in words is "fifty-four million, twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 197 232 348 394 464 591 696 788 1182 1392 1576 2364 3152 4728 5713 9456 11426 17139 22852 34278 38809 45704 68556 77618 91408 116427 137112 155236 232854 274224 310472 465708 620944 931416 1125461 1862832 2250922 3376383 4501844 6752766 9003688 13505532 18007376 27011064 54022128