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42554016 = 25321391063
BaseRepresentation
bin1010001001010…
…1001010100000
32222001222010200
42202111022200
541343212031
64120025200
71024463121
oct242251240
988058120
1042554016
112202550a
1212302200
138a7c1bb
14591a048
153b088e6
hex28952a0

42554016 has 72 divisors (see below), whose sum is σ = 121998240. Its totient is φ = 14069376.

The previous prime is 42554003. The next prime is 42554069. The reversal of 42554016 is 61045524.

42554016 is a `hidden beast` number, since 4 + 255 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39501 + ... + 40563.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 242554016 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 42554016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60999120).

42554016 is an abundant number, since it is smaller than the sum of its proper divisors (79444224).

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

42554016 is a wasteful number, since it uses less digits than its factorization.

42554016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42554016 is about 6523.3439277720. The cubic root of 42554016 is about 349.1243854024.

The spelling of 42554016 in words is "forty-two million, five hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1063 1112 1251 1668 2126 2224 2502 3189 3336 4252 4448 5004 6378 6672 8504 9567 10008 12756 13344 17008 19134 20016 25512 34016 38268 40032 51024 76536 102048 147757 153072 295514 306144 443271 591028 886542 1182056 1329813 1773084 2364112 2659626 3546168 4728224 5319252 7092336 10638504 14184672 21277008 42554016