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54112122 = 23217181977
BaseRepresentation
bin1100111001101…
…0111101111010
310202211011212200
43032122331322
5102323041442
65211451030
71224642201
oct316327572
9122734780
1054112122
11285aa269
1216156a76
13b29800c
147288238
154b3d34c
hex339af7a

54112122 has 48 divisors (see below), whose sum is σ = 124953192. Its totient is φ = 16865280.

The previous prime is 54112111. The next prime is 54112141. The reversal of 54112122 is 22121145.

54112122 is a `hidden beast` number, since 541 + 1 + 2 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48734361 + 5377761 = 6981^2 + 2319^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 54112095 and 54112104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54898 + ... + 55874.

Almost surely, 254112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62476596).

54112122 is an abundant number, since it is smaller than the sum of its proper divisors (70841070).

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

54112122 is a wasteful number, since it uses less digits than its factorization.

54112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1180 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 54112122 is about 7356.0942082059. The cubic root of 54112122 is about 378.2377357270.

Adding to 54112122 its reverse (22121145), we get a palindrome (76233267).

The spelling of 54112122 in words is "fifty-four million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 181 306 362 543 977 1086 1629 1954 2931 3077 3258 5862 6154 8793 9231 16609 17586 18462 27693 33218 49827 55386 99654 149481 176837 298962 353674 530511 1061022 1591533 3006229 3183066 6012458 9018687 18037374 27056061 54112122