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42541056 = 21332577
BaseRepresentation
bin1010001001001…
…0000000000000
32222001022100200
42202102000000
541342303211
64115445200
71024410255
oct242220000
988038320
1042541056
11220167a8
12122b6800
138a7632c
14591542c
153b04b56
hex2892000

42541056 has 84 divisors (see below), whose sum is σ = 123101862. Its totient is φ = 14155776.

The previous prime is 42541049. The next prime is 42541091. The reversal of 42541056 is 65014524.

It can be written as a sum of positive squares in only one way, i.e., 23040000 + 19501056 = 4800^2 + 4416^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73440 + ... + 74016.

Almost surely, 242541056 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 42541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61550931).

42541056 is an abundant number, since it is smaller than the sum of its proper divisors (80560806).

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

42541056 is an equidigital number, since it uses as much as digits as its factorization.

42541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 582 counting only the distinct ones).

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

The square root of 42541056 is about 6522.3504965618. The cubic root of 42541056 is about 349.0889393828.

The spelling of 42541056 in words is "forty-two million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 577 768 1024 1152 1154 1536 1731 2048 2304 2308 3072 3462 4096 4608 4616 5193 6144 6924 8192 9216 9232 10386 12288 13848 18432 18464 20772 24576 27696 36864 36928 41544 55392 73728 73856 83088 110784 147712 166176 221568 295424 332352 443136 590848 664704 886272 1181696 1329408 1772544 2363392 2658816 3545088 4726784 5317632 7090176 10635264 14180352 21270528 42541056