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56011284 = 22337431723
BaseRepresentation
bin1101010110101…
…0101000010100
310220101200001000
43111222220110
5103314330114
65320303300
71250042130
oct325525024
9126350030
1056011284
112968711a
1216911b30
13b7b1594
1476203c0
154db5e09
hex356aa14

56011284 has 96 divisors (see below), whose sum is σ = 169917440. Its totient is φ = 15621984.

The previous prime is 56011283. The next prime is 56011309. The reversal of 56011284 is 48211065.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56011283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31647 + ... + 33369.

Almost surely, 256011284 is an apocalyptic number.

56011284 is a gapful number since it is divisible by the number (54) 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 56011284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84958720).

56011284 is an abundant number, since it is smaller than the sum of its proper divisors (113906156).

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

56011284 is a wasteful number, since it uses less digits than its factorization.

56011284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56011284 is about 7484.0686795352. The cubic root of 56011284 is about 382.6119318709.

The spelling of 56011284 in words is "fifty-six million, eleven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1723 1806 2322 2709 3446 3612 4644 5169 5418 6892 8127 10338 10836 12061 15507 16254 20676 24122 31014 32508 36183 46521 48244 62028 72366 74089 93042 108549 144732 148178 186084 217098 222267 296356 325647 434196 444534 518623 651294 666801 889068 1037246 1302588 1333602 1555869 2000403 2074492 2667204 3111738 4000806 4667607 6223476 8001612 9335214 14002821 18670428 28005642 56011284