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54142092 = 22322322843
BaseRepresentation
bin1100111010001…
…0010010001100
310202212200222200
43032202102030
5102330021332
65212241500
71225125444
oct316422214
9122780880
1054142092
112861a834
1216170290
13b2a8854
147295124
154b4717c
hex33a248c

54142092 has 54 divisors (see below), whose sum is σ = 143118612. Its totient is φ = 17256624.

The previous prime is 54142091. The next prime is 54142103. The reversal of 54142092 is 29024145.

It is a super-2 number, since 2×541420922 = 5862732252272928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54142091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17623 + ... + 20465.

Almost surely, 254142092 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 54142092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71559306).

54142092 is an abundant number, since it is smaller than the sum of its proper divisors (88976520).

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

54142092 is a wasteful number, since it uses less digits than its factorization.

54142092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54142092 is about 7358.1310126961. The cubic root of 54142092 is about 378.3075518322.

The spelling of 54142092 in words is "fifty-four million, one hundred forty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 2843 3174 4761 5686 6348 8529 9522 11372 17058 19044 25587 34116 51174 65389 102348 130778 196167 261556 392334 588501 784668 1177002 1503947 2354004 3007894 4511841 6015788 9023682 13535523 18047364 27071046 54142092