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52435854 = 23217349491
BaseRepresentation
bin1100100000000…
…1101110001110
310122200000110200
43020001232032
5101410421404
65111514330
71204461132
oct310015616
9118600420
1052435854
1127664919
12156889a6
13ab2c043
146d6d3c2
15490b839
hex3201b8e

52435854 has 48 divisors (see below), whose sum is σ = 120884400. Its totient is φ = 16369920.

The previous prime is 52435853. The next prime is 52435897. The reversal of 52435854 is 45853425.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52435853) 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, 106549 + ... + 107039.

It is an arithmetic number, because the mean of its divisors is an integer number (2518425).

Almost surely, 252435854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52435854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60442200).

52435854 is an abundant number, since it is smaller than the sum of its proper divisors (68448546).

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

52435854 is a wasteful number, since it uses less digits than its factorization.

52435854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 862 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 52435854 is about 7241.2605256267. The cubic root of 52435854 is about 374.2910552375.

The spelling of 52435854 in words is "fifty-two million, four hundred thirty-five thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 349 491 698 982 1047 1473 2094 2946 3141 4419 5933 6282 8347 8838 11866 16694 17799 25041 35598 50082 53397 75123 106794 150246 171359 342718 514077 1028154 1542231 2913103 3084462 5826206 8739309 17478618 26217927 52435854