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55785520 = 2457319107
BaseRepresentation
bin1101010011001…
…1100000110000
310212222012100101
43110303200300
5103240114040
65311402144
71245112000
oct324634060
9125865311
1055785520
112954253a
1216823354
13b7328ab
1475a2000
154d6e09a
hex3533830

55785520 has 160 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 17950464.

The previous prime is 55785497. The next prime is 55785547. The reversal of 55785520 is 2558755.

It is a super-2 number, since 2×557855202 = 6224048483340800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55785520.

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 31 ways as a sum of consecutive naturals, for example, 521307 + ... + 521413.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 255785520 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 55785520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

55785520 is an abundant number, since it is smaller than the sum of its proper divisors (104918480).

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

55785520 is a wasteful number, since it uses less digits than its factorization.

55785520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 37.

The square root of 55785520 is about 7468.9704779173. The cubic root of 55785520 is about 382.0971765601.

The spelling of 55785520 in words is "fifty-five million, seven hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 107 112 133 140 152 190 196 214 245 266 280 304 343 380 392 428 490 532 535 560 665 686 749 760 784 856 931 980 1064 1070 1330 1372 1498 1520 1712 1715 1862 1960 2033 2128 2140 2660 2744 2996 3430 3724 3745 3920 4066 4280 4655 5243 5320 5488 5992 6517 6860 7448 7490 8132 8560 9310 10165 10486 10640 11984 13034 13720 14231 14896 14980 16264 18620 20330 20972 26068 26215 27440 28462 29960 32528 32585 36701 37240 40660 41944 52136 52430 56924 59920 65170 71155 73402 74480 81320 83888 99617 104272 104860 113848 130340 142310 146804 162640 183505 199234 209720 227696 260680 284620 293608 367010 398468 419440 498085 521360 569240 587216 697319 734020 796936 996170 1138480 1394638 1468040 1593872 1992340 2789276 2936080 3486595 3984680 5578552 6973190 7969360 11157104 13946380 27892760 55785520