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52635042 = 233532347
BaseRepresentation
bin1100100011001…
…0010110100010
310200001010201000
43020302112202
5101433310132
65120052430
71206250635
oct310622642
9120033630
1052635042
1127790539
1215764116
13ab9b8c5
146dc1c1c
15494a87c
hex32325a2

52635042 has 48 divisors (see below), whose sum is σ = 119558880. Its totient is φ = 17164368.

The previous prime is 52635041. The next prime is 52635049. The reversal of 52635042 is 24053625.

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 a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52634997 and 52635015.

It is not an unprimeable number, because it can be changed into a prime (52635041) 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 23 ways as a sum of consecutive naturals, for example, 151513 + ... + 151859.

It is an arithmetic number, because the mean of its divisors is an integer number (2490810).

Almost surely, 252635042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52635042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59779440).

52635042 is an abundant number, since it is smaller than the sum of its proper divisors (66923838).

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

52635042 is a wasteful number, since it uses less digits than its factorization.

52635042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 52635042 is about 7255.0011716057. The cubic root of 52635042 is about 374.7643960064.

Adding to 52635042 its reverse (24053625), we get a palindrome (76688667).

The spelling of 52635042 in words is "fifty-two million, six hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 347 477 694 954 1041 1431 2082 2809 2862 3123 5618 6246 8427 9369 16854 18391 18738 25281 36782 50562 55173 75843 110346 151686 165519 331038 496557 974723 993114 1949446 2924169 5848338 8772507 17545014 26317521 52635042