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56005614 = 2337229647
BaseRepresentation
bin1101010110100…
…1001111101110
310220101101021000
43111221033232
5103314134424
65320221130
71250016450
oct325511756
9126341230
1056005614
1129682935
121690a7a6
13b7abb22
14761c2d0
154db43c9
hex35693ee

56005614 has 64 divisors (see below), whose sum is σ = 143078400. Its totient is φ = 15907104.

The previous prime is 56005613. The next prime is 56005627. The reversal of 56005614 is 41650065.

It is a happy number.

56005614 is a `hidden beast` number, since 5 + 600 + 56 + 1 + 4 = 666.

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 (56005613) 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, 86239 + ... + 86885.

It is an arithmetic number, because the mean of its divisors is an integer number (2235600).

Almost surely, 256005614 is an apocalyptic number.

56005614 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56005614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71539200).

56005614 is an abundant number, since it is smaller than the sum of its proper divisors (87072786).

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

56005614 is a wasteful number, since it uses less digits than its factorization.

56005614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56005614 is about 7483.6898653004. The cubic root of 56005614 is about 382.5990208840.

Adding to 56005614 its reverse (41650065), we get a palindrome (97655679).

The spelling of 56005614 in words is "fifty-six million, five thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 229 378 458 647 687 1294 1374 1603 1941 2061 3206 3882 4122 4529 4809 5823 6183 9058 9618 11646 12366 13587 14427 17469 27174 28854 34938 40761 43281 81522 86562 122283 148163 244566 296326 444489 888978 1037141 1333467 2074282 2666934 3111423 4000401 6222846 8000802 9334269 18668538 28002807 56005614