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42852053 = 172295113
BaseRepresentation
bin1010001101110…
…1111011010101
32222122002222002
42203131323111
541432231203
64130245045
71030144046
oct243357325
988562862
1042852053
1122209422
1212426785
138b54a5a
1459968cd
153b66d88
hex28dded5

42852053 has 12 divisors (see below), whose sum is σ = 47099940. Its totient is φ = 38932992.

The previous prime is 42852041. The next prime is 42852091. The reversal of 42852053 is 35025824.

It can be written as a sum of positive squares in 6 ways, for example, as 54289 + 42797764 = 233^2 + 6542^2 .

It is not a de Polignac number, because 42852053 - 26 = 42851989 is a prime.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42852853) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5825 + ... + 10937.

It is an arithmetic number, because the mean of its divisors is an integer number (3924995).

Almost surely, 242852053 is an apocalyptic number.

It is an amenable number.

42852053 is a deficient number, since it is larger than the sum of its proper divisors (4247887).

42852053 is a wasteful number, since it uses less digits than its factorization.

42852053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 42852053 is about 6546.1479512764. The cubic root of 42852053 is about 349.9375480408.

Adding to 42852053 its reverse (35025824), we get a palindrome (77877877).

The spelling of 42852053 in words is "forty-two million, eight hundred fifty-two thousand, fifty-three".

Divisors: 1 17 29 289 493 5113 8381 86921 148277 1477657 2520709 42852053