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55655520 = 2535472467
BaseRepresentation
bin1101010001001…
…1110001100000
310212201121000120
43110103301200
5103221434040
65304520240
71244030664
oct324236140
9125647016
1055655520
11294638a8
1216780080
13b6b867b
14756a8a4
154d457d0
hex3513c60

55655520 has 96 divisors (see below), whose sum is σ = 179117568. Its totient is φ = 14519808.

The previous prime is 55655519. The next prime is 55655521. The reversal of 55655520 is 2555655.

It is an interprime number because it is at equal distance from previous prime (55655519) and next prime (55655521).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55655521) 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 15 ways as a sum of consecutive naturals, for example, 21327 + ... + 23793.

It is an arithmetic number, because the mean of its divisors is an integer number (1865808).

Almost surely, 255655520 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 55655520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89558784).

55655520 is an abundant number, since it is smaller than the sum of its proper divisors (123462048).

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

55655520 is a wasteful number, since it uses less digits than its factorization.

55655520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 33.

The square root of 55655520 is about 7460.2627299580. The cubic root of 55655520 is about 381.8001385001.

The spelling of 55655520 in words is "fifty-five million, six hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2467 2820 3760 4512 4934 5640 7401 7520 9868 11280 12335 14802 19736 22560 24670 29604 37005 39472 49340 59208 74010 78944 98680 115949 118416 148020 197360 231898 236832 296040 347847 394720 463796 579745 592080 695694 927592 1159490 1184160 1391388 1739235 1855184 2318980 2782776 3478470 3710368 4637960 5565552 6956940 9275920 11131104 13913880 18551840 27827760 55655520