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52559360 = 29572419
BaseRepresentation
bin1100100001111…
…1111000000000
310122220021212222
43020133320000
5101423344420
65114310212
71205514200
oct310377000
9118807788
1052559360
1127739697
1215728368
13ab73319
146da2400
154933225
hex321fe00

52559360 has 120 divisors (see below), whose sum is σ = 146943720. Its totient is φ = 17977344.

The previous prime is 52559357. The next prime is 52559371. The reversal of 52559360 is 6395525.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 52559360.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 125231 + ... + 125649.

It is an arithmetic number, because the mean of its divisors is an integer number (1224531).

Almost surely, 252559360 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 52559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73471860).

52559360 is an abundant number, since it is smaller than the sum of its proper divisors (94384360).

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

52559360 is an equidigital number, since it uses as much as digits as its factorization.

52559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 35.

The square root of 52559360 is about 7249.7834450417. The cubic root of 52559360 is about 374.5846898460.

The spelling of 52559360 in words is "fifty-two million, five hundred fifty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 419 448 490 512 560 640 784 838 896 980 1120 1280 1568 1676 1792 1960 2095 2240 2560 2933 3136 3352 3584 3920 4190 4480 5866 6272 6704 7840 8380 8960 11732 12544 13408 14665 15680 16760 17920 20531 23464 25088 26816 29330 31360 33520 41062 46928 53632 58660 62720 67040 82124 93856 102655 107264 117320 125440 134080 164248 187712 205310 214528 234640 268160 328496 375424 410620 469280 536320 656992 750848 821240 938560 1072640 1313984 1501696 1642480 1877120 2627968 3284960 3754240 5255936 6569920 7508480 10511872 13139840 26279680 52559360