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52413438 = 23721119853
BaseRepresentation
bin1100011111110…
…0001111111110
310122121212201110
43013330033332
5101404212223
65111222450
71204335600
oct307741776
9118555643
1052413438
1127649aa0
1215677a26
13ab21a8c
146d65170
154904d93
hex31fc3fe

52413438 has 96 divisors (see below), whose sum is σ = 140192640. Its totient is φ = 12882240.

The previous prime is 52413433. The next prime is 52413443. The reversal of 52413438 is 83431425.

It is an interprime number because it is at equal distance from previous prime (52413433) and next prime (52413443).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52413433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61020 + ... + 61872.

It is an arithmetic number, because the mean of its divisors is an integer number (1460340).

Almost surely, 252413438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52413438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70096320).

52413438 is an abundant number, since it is smaller than the sum of its proper divisors (87779202).

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

52413438 is a wasteful number, since it uses less digits than its factorization.

52413438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 895 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 52413438 is about 7239.7125633550. The cubic root of 52413438 is about 374.2377119395.

The spelling of 52413438 in words is "fifty-two million, four hundred thirteen thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 399 418 462 539 627 798 853 931 1078 1254 1463 1617 1706 1862 2559 2793 2926 3234 4389 5118 5586 5971 8778 9383 10241 11942 16207 17913 18766 20482 28149 30723 32414 35826 41797 48621 56298 61446 65681 83594 97242 113449 125391 131362 178277 197043 226898 250782 340347 356554 394086 459767 534831 680694 794143 919534 1069662 1247939 1379301 1588286 2382429 2495878 2758602 3743817 4764858 7487634 8735573 17471146 26206719 52413438