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56188890 = 2355191217
BaseRepresentation
bin1101011001010…
…1111111011010
310220201200200000
43112111333122
5103341021030
65324153430
71251412002
oct326257732
9126650600
1056188890
11297985aa
1216998876
13b844384
147669002
154ded860
hex3595fda

56188890 has 96 divisors (see below), whose sum is σ = 159606720. Its totient is φ = 14183424.

The previous prime is 56188883. The next prime is 56188907. The reversal of 56188890 is 9888165.

56188890 is a `hidden beast` number, since 561 + 8 + 8 + 89 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45562 + ... + 46778.

It is an arithmetic number, because the mean of its divisors is an integer number (1662570).

Almost surely, 256188890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56188890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79803360).

56188890 is an abundant number, since it is smaller than the sum of its proper divisors (103417830).

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

56188890 is a wasteful number, since it uses less digits than its factorization.

56188890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 56188890 is about 7495.9248929001. The cubic root of 56188890 is about 383.0159128247.

The spelling of 56188890 in words is "fifty-six million, one hundred eighty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 810 855 1026 1215 1217 1539 1710 2430 2434 2565 3078 3651 4617 5130 6085 7302 7695 9234 10953 12170 15390 18255 21906 23085 23123 32859 36510 46170 46246 54765 65718 69369 98577 109530 115615 138738 164295 197154 208107 231230 295731 328590 346845 416214 492885 591462 624321 693690 985770 1040535 1248642 1478655 1872963 2081070 2957310 3121605 3745926 5618889 6243210 9364815 11237778 18729630 28094445 56188890