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52385772 = 22317491523
BaseRepresentation
bin1100011111010…
…1011111101100
310122120110202210
43013311133230
5101402321042
65110450420
71204162125
oct307653754
9118513683
1052385772
112763022a
1215663a10
13ab122ca
146d5904c
1548eba9c
hex31f57ec

52385772 has 48 divisors (see below), whose sum is σ = 129935232. Its totient is φ = 16369920.

The previous prime is 52385737. The next prime is 52385779. The reversal of 52385772 is 27758325.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 52385772.

It is not an unprimeable number, because it can be changed into a prime (52385779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99903 + ... + 100425.

It is an arithmetic number, because the mean of its divisors is an integer number (2706984).

Almost surely, 252385772 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 52385772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64967616).

52385772 is an abundant number, since it is smaller than the sum of its proper divisors (77549460).

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

52385772 is a wasteful number, since it uses less digits than its factorization.

52385772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1036 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 52385772 is about 7237.8015999335. The cubic root of 52385772 is about 374.1718542564.

The spelling of 52385772 in words is "fifty-two million, three hundred eighty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 491 523 982 1046 1473 1569 1964 2092 2946 3138 5892 6276 8347 8891 16694 17782 25041 26673 33388 35564 50082 53346 100164 106692 256793 513586 770379 1027172 1540758 3081516 4365481 8730962 13096443 17461924 26192886 52385772