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56141514 = 2321113171283
BaseRepresentation
bin1101011000101…
…0011011001010
310220122021200100
43112022123022
5103333012024
65323150230
71251123612
oct326123312
9126567610
1056141514
1129765a50
1216975376
13b828940
147655a42
154dde7c9
hex358a6ca

56141514 has 96 divisors (see below), whose sum is σ = 151429824. Its totient is φ = 14768640.

The previous prime is 56141513. The next prime is 56141549. The reversal of 56141514 is 41514165.

56141514 is a `hidden beast` number, since 5 + 6 + 141 + 514 = 666.

56141514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56141513) 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 47 ways as a sum of consecutive naturals, for example, 43117 + ... + 44399.

It is an arithmetic number, because the mean of its divisors is an integer number (1577394).

Almost surely, 256141514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56141514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75714912).

56141514 is an abundant number, since it is smaller than the sum of its proper divisors (95288310).

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

56141514 is a wasteful number, since it uses less digits than its factorization.

56141514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1329 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 56141514 is about 7492.7641094592. The cubic root of 56141514 is about 382.9082351671.

Adding to 56141514 its reverse (41514165), we get a palindrome (97655679).

The spelling of 56141514 in words is "fifty-six million, one hundred forty-one thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 143 153 187 198 221 234 286 306 374 429 442 561 663 858 1122 1283 1287 1326 1683 1989 2431 2566 2574 3366 3849 3978 4862 7293 7698 11547 14113 14586 16679 21811 21879 23094 28226 33358 42339 43622 43758 50037 65433 84678 100074 127017 130866 150111 183469 196299 239921 254034 283543 300222 366938 392598 479842 550407 567086 719763 850629 1100814 1439526 1651221 1701258 2159289 2551887 3118973 3302442 4318578 5103774 6237946 9356919 18713838 28070757 56141514