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42045056 = 27437639
BaseRepresentation
bin1010000001100…
…0111010000000
32221010002222022
42200120322000
541230420211
64101101012
71020243224
oct240307200
987102868
1042045056
1121808089
12120b7768
138931641
145826784
153a57bdb
hex2818e80

42045056 has 32 divisors (see below), whose sum is σ = 85720800. Its totient is φ = 20530944.

The previous prime is 42045053. The next prime is 42045103. The reversal of 42045056 is 65054024.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (42045053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1685 + ... + 9323.

It is an arithmetic number, because the mean of its divisors is an integer number (2678775).

Almost surely, 242045056 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 42045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42860400).

42045056 is an abundant number, since it is smaller than the sum of its proper divisors (43675744).

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

42045056 is an equidigital number, since it uses as much as digits as its factorization.

42045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 42045056 is about 6484.2159125063. The cubic root of 42045056 is about 347.7269183664.

The spelling of 42045056 in words is "forty-two million, forty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5504 7639 15278 30556 61112 122224 244448 328477 488896 656954 977792 1313908 2627816 5255632 10511264 21022528 42045056