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55930500 = 2234531381
BaseRepresentation
bin1101010101011…
…0111010000100
310220020120020000
43111112322010
5103304234000
65314441300
71246254453
oct325267204
9126216200
1055930500
112963145a
1216893230
13b783892
1475dcb9a
154d9c000
hex3556e84

55930500 has 120 divisors (see below), whose sum is σ = 182606424. Its totient is φ = 14904000.

The previous prime is 55930481. The next prime is 55930507. The reversal of 55930500 is 503955.

55930500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3048516 + 52881984 = 1746^2 + 7272^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55930507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39810 + ... + 41190.

Almost surely, 255930500 is an apocalyptic number.

55930500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55930500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91303212).

55930500 is an abundant number, since it is smaller than the sum of its proper divisors (126675924).

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

55930500 is a wasteful number, since it uses less digits than its factorization.

55930500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 55930500 is about 7478.6696677952. The cubic root of 55930500 is about 382.4278987512.

The spelling of 55930500 in words is "fifty-five million, nine hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 250 270 300 324 375 405 450 500 540 675 750 810 900 1125 1350 1381 1500 1620 2025 2250 2700 2762 3375 4050 4143 4500 5524 6750 6905 8100 8286 10125 12429 13500 13810 16572 20250 20715 24858 27620 34525 37287 40500 41430 49716 62145 69050 74574 82860 103575 111861 124290 138100 149148 172625 186435 207150 223722 248580 310725 345250 372870 414300 447444 517875 559305 621450 690500 745740 932175 1035750 1118610 1242900 1553625 1864350 2071500 2237220 2796525 3107250 3728700 4660875 5593050 6214500 9321750 11186100 13982625 18643500 27965250 55930500