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52218560 = 2651729331
BaseRepresentation
bin1100011100110…
…0101011000000
310122020222101202
43013030223000
5101331443220
65103120332
71202564462
oct307145300
9118228352
1052218560
1127526639
12155a30a8
13aa84174
146d14132
1548b7275
hex31ccac0

52218560 has 112 divisors (see below), whose sum is σ = 136611360. Its totient is φ = 18923520.

The previous prime is 52218557. The next prime is 52218587. The reversal of 52218560 is 6581225.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 157595 + ... + 157925.

Almost surely, 252218560 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 52218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68305680).

52218560 is an abundant number, since it is smaller than the sum of its proper divisors (84392800).

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

52218560 is a wasteful number, since it uses less digits than its factorization.

52218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 52218560 is about 7226.2410698786. The cubic root of 52218560 is about 373.7733191268.

Adding to 52218560 its reverse (6581225), we get a palindrome (58799785).

The spelling of 52218560 in words is "fifty-two million, two hundred eighteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 136 145 160 170 232 272 290 320 331 340 464 493 544 580 662 680 928 986 1088 1160 1324 1360 1655 1856 1972 2320 2465 2648 2720 3310 3944 4640 4930 5296 5440 5627 6620 7888 9280 9599 9860 10592 11254 13240 15776 19198 19720 21184 22508 26480 28135 31552 38396 39440 45016 47995 52960 56270 76792 78880 90032 95990 105920 112540 153584 157760 163183 180064 191980 225080 307168 326366 360128 383960 450160 614336 652732 767920 815915 900320 1305464 1535840 1631830 1800640 2610928 3071680 3263660 5221856 6527320 10443712 13054640 26109280 52218560