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55606050 = 23252294261
BaseRepresentation
bin1101010000011…
…1101100100010
310212122002011100
43110013230202
5103213343200
65303455230
71243433523
oct324075442
9125562140
1055606050
112942a715
1216757516
13b69bcb6
14755684a
154d35d00
hex3507b22

55606050 has 72 divisors (see below), whose sum is σ = 154582740. Its totient is φ = 14313600.

The previous prime is 55606039. The next prime is 55606069. The reversal of 55606050 is 5060655.

55606050 is a `hidden beast` number, since 5 + 5 + 606 + 0 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37124649 + 18481401 = 6093^2 + 4299^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10920 + ... + 15180.

Almost surely, 255606050 is an apocalyptic number.

55606050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55606050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77291370).

55606050 is an abundant number, since it is smaller than the sum of its proper divisors (98976690).

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

55606050 is a wasteful number, since it uses less digits than its factorization.

55606050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55606050 is about 7456.9464259843. The cubic root of 55606050 is about 381.6869825976.

The spelling of 55606050 in words is "fifty-five million, six hundred six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4261 4350 6525 8522 12783 13050 21305 25566 38349 42610 63915 76698 106525 123569 127830 191745 213050 247138 319575 370707 383490 617845 639150 741414 958725 1112121 1235690 1853535 1917450 2224242 3089225 3707070 5560605 6178450 9267675 11121210 18535350 27803025 55606050