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55995520 = 275729431
BaseRepresentation
bin1101010110011…
…0110010000000
310220100212102011
43111212302000
5103313324040
65320102304
71246645150
oct325466200
9126325364
1055995520
1129676299
1216904994
13b7a7359
147618760
154db13ea
hex3566c80

55995520 has 128 divisors (see below), whose sum is σ = 158630400. Its totient is φ = 18493440.

The previous prime is 55995509. The next prime is 55995521. The reversal of 55995520 is 2559955.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (55995521) 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, 129705 + ... + 130135.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 255995520 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 55995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315200).

55995520 is an abundant number, since it is smaller than the sum of its proper divisors (102634880).

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

55995520 is a wasteful number, since it uses less digits than its factorization.

55995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 40.

The square root of 55995520 is about 7483.0154349700. The cubic root of 55995520 is about 382.5760339828.

The spelling of 55995520 in words is "fifty-five million, nine hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 280 290 320 406 431 448 464 560 580 640 812 862 896 928 1015 1120 1160 1624 1724 1856 2030 2155 2240 2320 3017 3248 3448 3712 4060 4310 4480 4640 6034 6496 6896 8120 8620 9280 12068 12499 12992 13792 15085 16240 17240 18560 24136 24998 25984 27584 30170 32480 34480 48272 49996 55168 60340 62495 64960 68960 87493 96544 99992 120680 124990 129920 137920 174986 193088 199984 241360 249980 275840 349972 386176 399968 437465 482720 499960 699944 799936 874930 965440 999920 1399888 1599872 1749860 1930880 1999840 2799776 3499720 3999680 5599552 6999440 7999360 11199104 13998880 27997760 55995520